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Finding the Fourth Proportional to 22,932.92, 34,395.71 and 6,289.11

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Solution

The fourth proportional to 22,932.92, 34,395.71 and 6,289.11 is: 9,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.92 : 34,395.71 = 6,289.11 : x
  2. Step 2: Convert to fraction form
    22,932.92/34,395.71 = 6,289.11/x
  3. Step 3: Cross multiply
    22,932.92x = 34,395.71 × 6,289.11
  4. Step 4: Simplify right side
    22,932.92x = 216,318,372.27
  5. Step 5: Solve for x
    x = 216,318,372.27/22,932.92
  6. Step 6: Final answer
    x = 9,432.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.