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Finding the Fourth Proportional to 24,872.31, 37,300.73 and 8,228.61

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Solution

The fourth proportional to 24,872.31, 37,300.73 and 8,228.61 is: 12,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.31 : 37,300.73 = 8,228.61 : x
  2. Step 2: Convert to fraction form
    24,872.31/37,300.73 = 8,228.61/x
  3. Step 3: Cross multiply
    24,872.31x = 37,300.73 × 8,228.61
  4. Step 4: Simplify right side
    24,872.31x = 306,933,118.74
  5. Step 5: Solve for x
    x = 306,933,118.74/24,872.31
  6. Step 6: Final answer
    x = 12,340.35

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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.