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Finding the Fourth Proportional to 24,872.16, 37,308.26 and 8,227.74

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Solution

The fourth proportional to 24,872.16, 37,308.26 and 8,227.74 is: 12,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.16 : 37,308.26 = 8,227.74 : x
  2. Step 2: Convert to fraction form
    24,872.16/37,308.26 = 8,227.74/x
  3. Step 3: Cross multiply
    24,872.16x = 37,308.26 × 8,227.74
  4. Step 4: Simplify right side
    24,872.16x = 306,962,663.13
  5. Step 5: Solve for x
    x = 306,962,663.13/24,872.16
  6. Step 6: Final answer
    x = 12,341.62

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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.