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Finding the Fourth Proportional to 24,652.80, 36,982.40 and 12,179.20

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Solution

The fourth proportional to 24,652.80, 36,982.40 and 12,179.20 is: 18,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.80 : 36,982.40 = 12,179.20 : x
  2. Step 2: Convert to fraction form
    24,652.80/36,982.40 = 12,179.20/x
  3. Step 3: Cross multiply
    24,652.80x = 36,982.40 × 12,179.20
  4. Step 4: Simplify right side
    24,652.80x = 450,416,046.08
  5. Step 5: Solve for x
    x = 450,416,046.08/24,652.80
  6. Step 6: Final answer
    x = 18,270.38

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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.