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Finding the Fourth Proportional to 17,101.65, 25,656.44 and 5,414.87

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Solution

The fourth proportional to 17,101.65, 25,656.44 and 5,414.87 is: 8,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.65 : 25,656.44 = 5,414.87 : x
  2. Step 2: Convert to fraction form
    17,101.65/25,656.44 = 5,414.87/x
  3. Step 3: Cross multiply
    17,101.65x = 25,656.44 × 5,414.87
  4. Step 4: Simplify right side
    17,101.65x = 138,926,131.91
  5. Step 5: Solve for x
    x = 138,926,131.91/17,101.65
  6. Step 6: Final answer
    x = 8,123.55

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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.