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Finding the Fourth Proportional to 22,294.92, 30,767.16 and 15,221.16

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Solution

The fourth proportional to 22,294.92, 30,767.16 and 15,221.16 is: 21,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.92 : 30,767.16 = 15,221.16 : x
  2. Step 2: Convert to fraction form
    22,294.92/30,767.16 = 15,221.16/x
  3. Step 3: Cross multiply
    22,294.92x = 30,767.16 × 15,221.16
  4. Step 4: Simplify right side
    22,294.92x = 468,311,865.11
  5. Step 5: Solve for x
    x = 468,311,865.11/22,294.92
  6. Step 6: Final answer
    x = 21,005.32

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.