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Finding the Fourth Proportional to 16,540.92, 24,827.82 and 7,782

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Solution

The fourth proportional to 16,540.92, 24,827.82 and 7,782 is: 11,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.92 : 24,827.82 = 7,782 : x
  2. Step 2: Convert to fraction form
    16,540.92/24,827.82 = 7,782/x
  3. Step 3: Cross multiply
    16,540.92x = 24,827.82 × 7,782
  4. Step 4: Simplify right side
    16,540.92x = 193,210,095.24
  5. Step 5: Solve for x
    x = 193,210,095.24/16,540.92
  6. Step 6: Final answer
    x = 11,680.73

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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.