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Finding the Fourth Proportional to 13,761.71, 18,957.13 and 11,738.53

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Solution

The fourth proportional to 13,761.71, 18,957.13 and 11,738.53 is: 16,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.71 : 18,957.13 = 11,738.53 : x
  2. Step 2: Convert to fraction form
    13,761.71/18,957.13 = 11,738.53/x
  3. Step 3: Cross multiply
    13,761.71x = 18,957.13 × 11,738.53
  4. Step 4: Simplify right side
    13,761.71x = 222,528,839.22
  5. Step 5: Solve for x
    x = 222,528,839.22/13,761.71
  6. Step 6: Final answer
    x = 16,170.14

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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.