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Finding the Fourth Proportional to 14,117.52, 21,177.18 and 3,729

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Solution

The fourth proportional to 14,117.52, 21,177.18 and 3,729 is: 5,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.52 : 21,177.18 = 3,729 : x
  2. Step 2: Convert to fraction form
    14,117.52/21,177.18 = 3,729/x
  3. Step 3: Cross multiply
    14,117.52x = 21,177.18 × 3,729
  4. Step 4: Simplify right side
    14,117.52x = 78,969,704.22
  5. Step 5: Solve for x
    x = 78,969,704.22/14,117.52
  6. Step 6: Final answer
    x = 5,593.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.