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Finding the Fourth Proportional to 16,170.82, 24,255.24 and 9,511

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Solution

The fourth proportional to 16,170.82, 24,255.24 and 9,511 is: 14,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.82 : 24,255.24 = 9,511 : x
  2. Step 2: Convert to fraction form
    16,170.82/24,255.24 = 9,511/x
  3. Step 3: Cross multiply
    16,170.82x = 24,255.24 × 9,511
  4. Step 4: Simplify right side
    16,170.82x = 230,691,587.64
  5. Step 5: Solve for x
    x = 230,691,587.64/16,170.82
  6. Step 6: Final answer
    x = 14,265.92

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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.