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Finding the Fourth Proportional to 25,493.59, 35,186.79 and 14,167

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Solution

The fourth proportional to 25,493.59, 35,186.79 and 14,167 is: 19,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.59 : 35,186.79 = 14,167 : x
  2. Step 2: Convert to fraction form
    25,493.59/35,186.79 = 14,167/x
  3. Step 3: Cross multiply
    25,493.59x = 35,186.79 × 14,167
  4. Step 4: Simplify right side
    25,493.59x = 498,491,253.93
  5. Step 5: Solve for x
    x = 498,491,253.93/25,493.59
  6. Step 6: Final answer
    x = 19,553.59

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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.