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Finding the Fourth Proportional to 24,992.74, 37,475.34 and 8,344

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Solution

The fourth proportional to 24,992.74, 37,475.34 and 8,344 is: 12,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992.74 : 37,475.34 = 8,344 : x
  2. Step 2: Convert to fraction form
    24,992.74/37,475.34 = 8,344/x
  3. Step 3: Cross multiply
    24,992.74x = 37,475.34 × 8,344
  4. Step 4: Simplify right side
    24,992.74x = 312,694,236.96
  5. Step 5: Solve for x
    x = 312,694,236.96/24,992.74
  6. Step 6: Final answer
    x = 12,511.40

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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.