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Finding the Fourth Proportional to 20,687.17, 31,017.16 and 13,645.71

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Solution

The fourth proportional to 20,687.17, 31,017.16 and 13,645.71 is: 20,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.17 : 31,017.16 = 13,645.71 : x
  2. Step 2: Convert to fraction form
    20,687.17/31,017.16 = 13,645.71/x
  3. Step 3: Cross multiply
    20,687.17x = 31,017.16 × 13,645.71
  4. Step 4: Simplify right side
    20,687.17x = 423,251,170.38
  5. Step 5: Solve for x
    x = 423,251,170.38/20,687.17
  6. Step 6: Final answer
    x = 20,459.60

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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.