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Finding the Fourth Proportional to 24,734.92, 37,104.62 and 8,095

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Solution

The fourth proportional to 24,734.92, 37,104.62 and 8,095 is: 12,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.92 : 37,104.62 = 8,095 : x
  2. Step 2: Convert to fraction form
    24,734.92/37,104.62 = 8,095/x
  3. Step 3: Cross multiply
    24,734.92x = 37,104.62 × 8,095
  4. Step 4: Simplify right side
    24,734.92x = 300,361,898.90
  5. Step 5: Solve for x
    x = 300,361,898.90/24,734.92
  6. Step 6: Final answer
    x = 12,143.23

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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.