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Finding the Fourth Proportional to 17,514.84, 24,171.15 and 9,961.86

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Solution

The fourth proportional to 17,514.84, 24,171.15 and 9,961.86 is: 13,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.84 : 24,171.15 = 9,961.86 : x
  2. Step 2: Convert to fraction form
    17,514.84/24,171.15 = 9,961.86/x
  3. Step 3: Cross multiply
    17,514.84x = 24,171.15 × 9,961.86
  4. Step 4: Simplify right side
    17,514.84x = 240,789,612.34
  5. Step 5: Solve for x
    x = 240,789,612.34/17,514.84
  6. Step 6: Final answer
    x = 13,747.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.