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Finding the Fourth Proportional to 18,202.80, 27,306.56 and 6,358.96

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Solution

The fourth proportional to 18,202.80, 27,306.56 and 6,358.96 is: 9,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.80 : 27,306.56 = 6,358.96 : x
  2. Step 2: Convert to fraction form
    18,202.80/27,306.56 = 6,358.96/x
  3. Step 3: Cross multiply
    18,202.80x = 27,306.56 × 6,358.96
  4. Step 4: Simplify right side
    18,202.80x = 173,641,322.78
  5. Step 5: Solve for x
    x = 173,641,322.78/18,202.80
  6. Step 6: Final answer
    x = 9,539.26

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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.