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Finding the Fourth Proportional to 24,387.20, 36,580.80 and 6,856.80

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Solution

The fourth proportional to 24,387.20, 36,580.80 and 6,856.80 is: 10,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.20 : 36,580.80 = 6,856.80 : x
  2. Step 2: Convert to fraction form
    24,387.20/36,580.80 = 6,856.80/x
  3. Step 3: Cross multiply
    24,387.20x = 36,580.80 × 6,856.80
  4. Step 4: Simplify right side
    24,387.20x = 250,827,229.44
  5. Step 5: Solve for x
    x = 250,827,229.44/24,387.20
  6. Step 6: Final answer
    x = 10,285.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.