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Finding the Fourth Proportional to 23,728.68, 32,744.17 and 13,117.68

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Solution

The fourth proportional to 23,728.68, 32,744.17 and 13,117.68 is: 18,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.68 : 32,744.17 = 13,117.68 : x
  2. Step 2: Convert to fraction form
    23,728.68/32,744.17 = 13,117.68/x
  3. Step 3: Cross multiply
    23,728.68x = 32,744.17 × 13,117.68
  4. Step 4: Simplify right side
    23,728.68x = 429,527,347.41
  5. Step 5: Solve for x
    x = 429,527,347.41/23,728.68
  6. Step 6: Final answer
    x = 18,101.62

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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.