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Finding the Fourth Proportional to 17,687.31, 24,411.96 and 10,138.70

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Solution

The fourth proportional to 17,687.31, 24,411.96 and 10,138.70 is: 13,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.31 : 24,411.96 = 10,138.70 : x
  2. Step 2: Convert to fraction form
    17,687.31/24,411.96 = 10,138.70/x
  3. Step 3: Cross multiply
    17,687.31x = 24,411.96 × 10,138.70
  4. Step 4: Simplify right side
    17,687.31x = 247,505,538.85
  5. Step 5: Solve for x
    x = 247,505,538.85/17,687.31
  6. Step 6: Final answer
    x = 13,993.40

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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.