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Finding the Fourth Proportional to 27,429.80, 41,146.31 and 7,709.90

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Solution

The fourth proportional to 27,429.80, 41,146.31 and 7,709.90 is: 11,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.80 : 41,146.31 = 7,709.90 : x
  2. Step 2: Convert to fraction form
    27,429.80/41,146.31 = 7,709.90/x
  3. Step 3: Cross multiply
    27,429.80x = 41,146.31 × 7,709.90
  4. Step 4: Simplify right side
    27,429.80x = 317,233,691.19
  5. Step 5: Solve for x
    x = 317,233,691.19/27,429.80
  6. Step 6: Final answer
    x = 11,565.29

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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.