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Finding the Fourth Proportional to 14,841.78, 20,481.65 and 8,127.82

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Solution

The fourth proportional to 14,841.78, 20,481.65 and 8,127.82 is: 11,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841.78 : 20,481.65 = 8,127.82 : x
  2. Step 2: Convert to fraction form
    14,841.78/20,481.65 = 8,127.82/x
  3. Step 3: Cross multiply
    14,841.78x = 20,481.65 × 8,127.82
  4. Step 4: Simplify right side
    14,841.78x = 166,471,082.41
  5. Step 5: Solve for x
    x = 166,471,082.41/14,841.78
  6. Step 6: Final answer
    x = 11,216.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.