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Finding the Fourth Proportional to 22,982.85, 34,442.38 and 10,472.30

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Solution

The fourth proportional to 22,982.85, 34,442.38 and 10,472.30 is: 15,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.85 : 34,442.38 = 10,472.30 : x
  2. Step 2: Convert to fraction form
    22,982.85/34,442.38 = 10,472.30/x
  3. Step 3: Cross multiply
    22,982.85x = 34,442.38 × 10,472.30
  4. Step 4: Simplify right side
    22,982.85x = 360,690,936.07
  5. Step 5: Solve for x
    x = 360,690,936.07/22,982.85
  6. Step 6: Final answer
    x = 15,693.92

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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.