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Finding the Fourth Proportional to 15,127.68, 20,874.22 and 8,411.97

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Solution

The fourth proportional to 15,127.68, 20,874.22 and 8,411.97 is: 11,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,127.68 : 20,874.22 = 8,411.97 : x
  2. Step 2: Convert to fraction form
    15,127.68/20,874.22 = 8,411.97/x
  3. Step 3: Cross multiply
    15,127.68x = 20,874.22 × 8,411.97
  4. Step 4: Simplify right side
    15,127.68x = 175,593,312.41
  5. Step 5: Solve for x
    x = 175,593,312.41/15,127.68
  6. Step 6: Final answer
    x = 11,607.42

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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.