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Finding the Fourth Proportional to 24,943.20, 37,414.80 and 11,821.20

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Solution

The fourth proportional to 24,943.20, 37,414.80 and 11,821.20 is: 17,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.20 : 37,414.80 = 11,821.20 : x
  2. Step 2: Convert to fraction form
    24,943.20/37,414.80 = 11,821.20/x
  3. Step 3: Cross multiply
    24,943.20x = 37,414.80 × 11,821.20
  4. Step 4: Simplify right side
    24,943.20x = 442,287,833.76
  5. Step 5: Solve for x
    x = 442,287,833.76/24,943.20
  6. Step 6: Final answer
    x = 17,731.80

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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.