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Finding the Fourth Proportional to 16,536.38, 24,805.92 and 7,766.52

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Solution

The fourth proportional to 16,536.38, 24,805.92 and 7,766.52 is: 11,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.38 : 24,805.92 = 7,766.52 : x
  2. Step 2: Convert to fraction form
    16,536.38/24,805.92 = 7,766.52/x
  3. Step 3: Cross multiply
    16,536.38x = 24,805.92 × 7,766.52
  4. Step 4: Simplify right side
    16,536.38x = 192,655,673.80
  5. Step 5: Solve for x
    x = 192,655,673.80/16,536.38
  6. Step 6: Final answer
    x = 11,650.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.