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Finding the Fourth Proportional to 23,314.92, 32,175.09 and 13,757.14

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Solution

The fourth proportional to 23,314.92, 32,175.09 and 13,757.14 is: 18,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.92 : 32,175.09 = 13,757.14 : x
  2. Step 2: Convert to fraction form
    23,314.92/32,175.09 = 13,757.14/x
  3. Step 3: Cross multiply
    23,314.92x = 32,175.09 × 13,757.14
  4. Step 4: Simplify right side
    23,314.92x = 442,637,217.64
  5. Step 5: Solve for x
    x = 442,637,217.64/23,314.92
  6. Step 6: Final answer
    x = 18,985.15

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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.