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Finding the Fourth Proportional to 13,689.39, 20,534.05 and 3,301.14

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Solution

The fourth proportional to 13,689.39, 20,534.05 and 3,301.14 is: 4,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.39 : 20,534.05 = 3,301.14 : x
  2. Step 2: Convert to fraction form
    13,689.39/20,534.05 = 3,301.14/x
  3. Step 3: Cross multiply
    13,689.39x = 20,534.05 × 3,301.14
  4. Step 4: Simplify right side
    13,689.39x = 67,785,773.82
  5. Step 5: Solve for x
    x = 67,785,773.82/13,689.39
  6. Step 6: Final answer
    x = 4,951.70

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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.