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Finding the Fourth Proportional to 20,162.62, 30,233.54 and 9,059.78

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Solution

The fourth proportional to 20,162.62, 30,233.54 and 9,059.78 is: 13,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.62 : 30,233.54 = 9,059.78 : x
  2. Step 2: Convert to fraction form
    20,162.62/30,233.54 = 9,059.78/x
  3. Step 3: Cross multiply
    20,162.62x = 30,233.54 × 9,059.78
  4. Step 4: Simplify right side
    20,162.62x = 273,909,221.02
  5. Step 5: Solve for x
    x = 273,909,221.02/20,162.62
  6. Step 6: Final answer
    x = 13,585.00

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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.