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Finding the Fourth Proportional to 19,687.66, 29,492.15 and 13,432.14

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Solution

The fourth proportional to 19,687.66, 29,492.15 and 13,432.14 is: 20,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.66 : 29,492.15 = 13,432.14 : x
  2. Step 2: Convert to fraction form
    19,687.66/29,492.15 = 13,432.14/x
  3. Step 3: Cross multiply
    19,687.66x = 29,492.15 × 13,432.14
  4. Step 4: Simplify right side
    19,687.66x = 396,142,620.54
  5. Step 5: Solve for x
    x = 396,142,620.54/19,687.66
  6. Step 6: Final answer
    x = 20,121.37

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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.