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Finding the Fourth Proportional to 24,687.52, 37,031.30 and 8,271.52

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Solution

The fourth proportional to 24,687.52, 37,031.30 and 8,271.52 is: 12,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.52 : 37,031.30 = 8,271.52 : x
  2. Step 2: Convert to fraction form
    24,687.52/37,031.30 = 8,271.52/x
  3. Step 3: Cross multiply
    24,687.52x = 37,031.30 × 8,271.52
  4. Step 4: Simplify right side
    24,687.52x = 306,305,138.58
  5. Step 5: Solve for x
    x = 306,305,138.58/24,687.52
  6. Step 6: Final answer
    x = 12,407.29

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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.