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Finding the Fourth Proportional to 17,472.34, 24,112.41 and 9,514.18

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Solution

The fourth proportional to 17,472.34, 24,112.41 and 9,514.18 is: 13,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472.34 : 24,112.41 = 9,514.18 : x
  2. Step 2: Convert to fraction form
    17,472.34/24,112.41 = 9,514.18/x
  3. Step 3: Cross multiply
    17,472.34x = 24,112.41 × 9,514.18
  4. Step 4: Simplify right side
    17,472.34x = 229,409,808.97
  5. Step 5: Solve for x
    x = 229,409,808.97/17,472.34
  6. Step 6: Final answer
    x = 13,129.88

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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.