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Finding the Fourth Proportional to 22,296.92, 30,769.92 and 15,223.16

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Solution

The fourth proportional to 22,296.92, 30,769.92 and 15,223.16 is: 21,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.92 : 30,769.92 = 15,223.16 : x
  2. Step 2: Convert to fraction form
    22,296.92/30,769.92 = 15,223.16/x
  3. Step 3: Cross multiply
    22,296.92x = 30,769.92 × 15,223.16
  4. Step 4: Simplify right side
    22,296.92x = 468,415,415.35
  5. Step 5: Solve for x
    x = 468,415,415.35/22,296.92
  6. Step 6: Final answer
    x = 21,008.08

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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.