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Finding the Fourth Proportional to 13,737.62, 18,957.75 and 7,449.92

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Solution

The fourth proportional to 13,737.62, 18,957.75 and 7,449.92 is: 10,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.62 : 18,957.75 = 7,449.92 : x
  2. Step 2: Convert to fraction form
    13,737.62/18,957.75 = 7,449.92/x
  3. Step 3: Cross multiply
    13,737.62x = 18,957.75 × 7,449.92
  4. Step 4: Simplify right side
    13,737.62x = 141,233,720.88
  5. Step 5: Solve for x
    x = 141,233,720.88/13,737.62
  6. Step 6: Final answer
    x = 10,280.80

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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.