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Finding the Fourth Proportional to 20,257.14, 30,375.18 and 9,158.52

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Solution

The fourth proportional to 20,257.14, 30,375.18 and 9,158.52 is: 13,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.14 : 30,375.18 = 9,158.52 : x
  2. Step 2: Convert to fraction form
    20,257.14/30,375.18 = 9,158.52/x
  3. Step 3: Cross multiply
    20,257.14x = 30,375.18 × 9,158.52
  4. Step 4: Simplify right side
    20,257.14x = 278,191,693.53
  5. Step 5: Solve for x
    x = 278,191,693.53/20,257.14
  6. Step 6: Final answer
    x = 13,733.02

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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.