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Finding the Fourth Proportional to 22,432.82, 30,957.32 and 12,223.80

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Solution

The fourth proportional to 22,432.82, 30,957.32 and 12,223.80 is: 16,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.82 : 30,957.32 = 12,223.80 : x
  2. Step 2: Convert to fraction form
    22,432.82/30,957.32 = 12,223.80/x
  3. Step 3: Cross multiply
    22,432.82x = 30,957.32 × 12,223.80
  4. Step 4: Simplify right side
    22,432.82x = 378,416,118.78
  5. Step 5: Solve for x
    x = 378,416,118.78/22,432.82
  6. Step 6: Final answer
    x = 16,868.86

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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.