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Finding the Fourth Proportional to 22,221.84, 30,673.84 and 12,794.16

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Solution

The fourth proportional to 22,221.84, 30,673.84 and 12,794.16 is: 17,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.84 : 30,673.84 = 12,794.16 : x
  2. Step 2: Convert to fraction form
    22,221.84/30,673.84 = 12,794.16/x
  3. Step 3: Cross multiply
    22,221.84x = 30,673.84 × 12,794.16
  4. Step 4: Simplify right side
    22,221.84x = 392,446,016.77
  5. Step 5: Solve for x
    x = 392,446,016.77/22,221.84
  6. Step 6: Final answer
    x = 17,660.37

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Half scale
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Double scale
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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.