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Finding the Fourth Proportional to 14,865.78, 20,514.56 and 8,151.38

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Solution

The fourth proportional to 14,865.78, 20,514.56 and 8,151.38 is: 11,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.78 : 20,514.56 = 8,151.38 : x
  2. Step 2: Convert to fraction form
    14,865.78/20,514.56 = 8,151.38/x
  3. Step 3: Cross multiply
    14,865.78x = 20,514.56 × 8,151.38
  4. Step 4: Simplify right side
    14,865.78x = 167,221,974.09
  5. Step 5: Solve for x
    x = 167,221,974.09/14,865.78
  6. Step 6: Final answer
    x = 11,248.79

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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.