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Finding the Fourth Proportional to 13,642.14, 20,442.30 and 9,183.31

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Solution

The fourth proportional to 13,642.14, 20,442.30 and 9,183.31 is: 13,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.14 : 20,442.30 = 9,183.31 : x
  2. Step 2: Convert to fraction form
    13,642.14/20,442.30 = 9,183.31/x
  3. Step 3: Cross multiply
    13,642.14x = 20,442.30 × 9,183.31
  4. Step 4: Simplify right side
    13,642.14x = 187,727,875.80
  5. Step 5: Solve for x
    x = 187,727,875.80/13,642.14
  6. Step 6: Final answer
    x = 13,760.89

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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.