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Finding the Fourth Proportional to 24,876.80, 37,315.20 and 8,239.40

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Solution

The fourth proportional to 24,876.80, 37,315.20 and 8,239.40 is: 12,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.80 : 37,315.20 = 8,239.40 : x
  2. Step 2: Convert to fraction form
    24,876.80/37,315.20 = 8,239.40/x
  3. Step 3: Cross multiply
    24,876.80x = 37,315.20 × 8,239.40
  4. Step 4: Simplify right side
    24,876.80x = 307,454,858.88
  5. Step 5: Solve for x
    x = 307,454,858.88/24,876.80
  6. Step 6: Final answer
    x = 12,359.10

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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.