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Finding the Fourth Proportional to 22,952.20, 34,429.52 and 6,311.87

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Solution

The fourth proportional to 22,952.20, 34,429.52 and 6,311.87 is: 9,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.20 : 34,429.52 = 6,311.87 : x
  2. Step 2: Convert to fraction form
    22,952.20/34,429.52 = 6,311.87/x
  3. Step 3: Cross multiply
    22,952.20x = 34,429.52 × 6,311.87
  4. Step 4: Simplify right side
    22,952.20x = 217,314,654.40
  5. Step 5: Solve for x
    x = 217,314,654.40/22,952.20
  6. Step 6: Final answer
    x = 9,468.14

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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.