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Finding the Fourth Proportional to 22,931.90, 34,395.54 and 6,293.61

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Solution

The fourth proportional to 22,931.90, 34,395.54 and 6,293.61 is: 9,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.90 : 34,395.54 = 6,293.61 : x
  2. Step 2: Convert to fraction form
    22,931.90/34,395.54 = 6,293.61/x
  3. Step 3: Cross multiply
    22,931.90x = 34,395.54 × 6,293.61
  4. Step 4: Simplify right side
    22,931.90x = 216,472,114.50
  5. Step 5: Solve for x
    x = 216,472,114.50/22,931.90
  6. Step 6: Final answer
    x = 9,439.78

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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.