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Finding the Fourth Proportional to 17,728.92, 24,472.17 and 15,837.22

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Solution

The fourth proportional to 17,728.92, 24,472.17 and 15,837.22 is: 21,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.92 : 24,472.17 = 15,837.22 : x
  2. Step 2: Convert to fraction form
    17,728.92/24,472.17 = 15,837.22/x
  3. Step 3: Cross multiply
    17,728.92x = 24,472.17 × 15,837.22
  4. Step 4: Simplify right side
    17,728.92x = 387,571,140.17
  5. Step 5: Solve for x
    x = 387,571,140.17/17,728.92
  6. Step 6: Final answer
    x = 21,860.96

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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.