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Finding the Fourth Proportional to 17,115.52, 25,672 and 10,184

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Solution

The fourth proportional to 17,115.52, 25,672 and 10,184 is: 15,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.52 : 25,672 = 10,184 : x
  2. Step 2: Convert to fraction form
    17,115.52/25,672 = 10,184/x
  3. Step 3: Cross multiply
    17,115.52x = 25,672 × 10,184
  4. Step 4: Simplify right side
    17,115.52x = 261,443,648
  5. Step 5: Solve for x
    x = 261,443,648/17,115.52
  6. Step 6: Final answer
    x = 15,275.24

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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.