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Finding the Fourth Proportional to 17,486.28, 24,115.32 and 11,197.44

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Solution

The fourth proportional to 17,486.28, 24,115.32 and 11,197.44 is: 15,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.28 : 24,115.32 = 11,197.44 : x
  2. Step 2: Convert to fraction form
    17,486.28/24,115.32 = 11,197.44/x
  3. Step 3: Cross multiply
    17,486.28x = 24,115.32 × 11,197.44
  4. Step 4: Simplify right side
    17,486.28x = 270,029,848.78
  5. Step 5: Solve for x
    x = 270,029,848.78/17,486.28
  6. Step 6: Final answer
    x = 15,442.38

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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.