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Finding the Fourth Proportional to 22,702.60, 31,329.78 and 12,632.20

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Solution

The fourth proportional to 22,702.60, 31,329.78 and 12,632.20 is: 17,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.60 : 31,329.78 = 12,632.20 : x
  2. Step 2: Convert to fraction form
    22,702.60/31,329.78 = 12,632.20/x
  3. Step 3: Cross multiply
    22,702.60x = 31,329.78 × 12,632.20
  4. Step 4: Simplify right side
    22,702.60x = 395,764,046.92
  5. Step 5: Solve for x
    x = 395,764,046.92/22,702.60
  6. Step 6: Final answer
    x = 17,432.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.