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Finding the Fourth Proportional to 28,013.60, 42,020.40 and 12,432.80

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Solution

The fourth proportional to 28,013.60, 42,020.40 and 12,432.80 is: 18,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,013.60 : 42,020.40 = 12,432.80 : x
  2. Step 2: Convert to fraction form
    28,013.60/42,020.40 = 12,432.80/x
  3. Step 3: Cross multiply
    28,013.60x = 42,020.40 × 12,432.80
  4. Step 4: Simplify right side
    28,013.60x = 522,431,229.12
  5. Step 5: Solve for x
    x = 522,431,229.12/28,013.60
  6. Step 6: Final answer
    x = 18,649.20

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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.