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Finding the Fourth Proportional to 17,471.80, 24,110.27 and 9,514

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Solution

The fourth proportional to 17,471.80, 24,110.27 and 9,514 is: 13,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.80 : 24,110.27 = 9,514 : x
  2. Step 2: Convert to fraction form
    17,471.80/24,110.27 = 9,514/x
  3. Step 3: Cross multiply
    17,471.80x = 24,110.27 × 9,514
  4. Step 4: Simplify right side
    17,471.80x = 229,385,108.78
  5. Step 5: Solve for x
    x = 229,385,108.78/17,471.80
  6. Step 6: Final answer
    x = 13,128.88

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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.