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Finding the Fourth Proportional to 24,712.68, 36,976.32 and 14,680.62

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Solution

The fourth proportional to 24,712.68, 36,976.32 and 14,680.62 is: 21,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.68 : 36,976.32 = 14,680.62 : x
  2. Step 2: Convert to fraction form
    24,712.68/36,976.32 = 14,680.62/x
  3. Step 3: Cross multiply
    24,712.68x = 36,976.32 × 14,680.62
  4. Step 4: Simplify right side
    24,712.68x = 542,835,302.92
  5. Step 5: Solve for x
    x = 542,835,302.92/24,712.68
  6. Step 6: Final answer
    x = 21,965.86

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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.