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Finding the Fourth Proportional to 16,593.66, 24,876.17 and 7,822.44

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Solution

The fourth proportional to 16,593.66, 24,876.17 and 7,822.44 is: 11,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,593.66 : 24,876.17 = 7,822.44 : x
  2. Step 2: Convert to fraction form
    16,593.66/24,876.17 = 7,822.44/x
  3. Step 3: Cross multiply
    16,593.66x = 24,876.17 × 7,822.44
  4. Step 4: Simplify right side
    16,593.66x = 194,592,308.14
  5. Step 5: Solve for x
    x = 194,592,308.14/16,593.66
  6. Step 6: Final answer
    x = 11,726.91

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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.