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Finding the Fourth Proportional to 13,432.90, 20,159.52 and 9,682.87

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Solution

The fourth proportional to 13,432.90, 20,159.52 and 9,682.87 is: 14,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.90 : 20,159.52 = 9,682.87 : x
  2. Step 2: Convert to fraction form
    13,432.90/20,159.52 = 9,682.87/x
  3. Step 3: Cross multiply
    13,432.90x = 20,159.52 × 9,682.87
  4. Step 4: Simplify right side
    13,432.90x = 195,202,011.42
  5. Step 5: Solve for x
    x = 195,202,011.42/13,432.90
  6. Step 6: Final answer
    x = 14,531.64

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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.