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Finding the Fourth Proportional to 15,737.32, 21,718.08 and 9,024.22

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Solution

The fourth proportional to 15,737.32, 21,718.08 and 9,024.22 is: 12,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.32 : 21,718.08 = 9,024.22 : x
  2. Step 2: Convert to fraction form
    15,737.32/21,718.08 = 9,024.22/x
  3. Step 3: Cross multiply
    15,737.32x = 21,718.08 × 9,024.22
  4. Step 4: Simplify right side
    15,737.32x = 195,988,731.90
  5. Step 5: Solve for x
    x = 195,988,731.90/15,737.32
  6. Step 6: Final answer
    x = 12,453.76

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