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Finding the Fourth Proportional to 24,674.85, 37,003.52 and 8,031.78

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Solution

The fourth proportional to 24,674.85, 37,003.52 and 8,031.78 is: 12,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.85 : 37,003.52 = 8,031.78 : x
  2. Step 2: Convert to fraction form
    24,674.85/37,003.52 = 8,031.78/x
  3. Step 3: Cross multiply
    24,674.85x = 37,003.52 × 8,031.78
  4. Step 4: Simplify right side
    24,674.85x = 297,204,091.71
  5. Step 5: Solve for x
    x = 297,204,091.71/24,674.85
  6. Step 6: Final answer
    x = 12,044.82

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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.