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Finding the Fourth Proportional to 13,689.68, 20,534.54 and 3,301.43

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Solution

The fourth proportional to 13,689.68, 20,534.54 and 3,301.43 is: 4,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.68 : 20,534.54 = 3,301.43 : x
  2. Step 2: Convert to fraction form
    13,689.68/20,534.54 = 3,301.43/x
  3. Step 3: Cross multiply
    13,689.68x = 20,534.54 × 3,301.43
  4. Step 4: Simplify right side
    13,689.68x = 67,793,346.39
  5. Step 5: Solve for x
    x = 67,793,346.39/13,689.68
  6. Step 6: Final answer
    x = 4,952.15

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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.