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Finding the Fourth Proportional to 17,966.27, 24,793.40 and 10,416.97

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Solution

The fourth proportional to 17,966.27, 24,793.40 and 10,416.97 is: 14,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.27 : 24,793.40 = 10,416.97 : x
  2. Step 2: Convert to fraction form
    17,966.27/24,793.40 = 10,416.97/x
  3. Step 3: Cross multiply
    17,966.27x = 24,793.40 × 10,416.97
  4. Step 4: Simplify right side
    17,966.27x = 258,272,161.03
  5. Step 5: Solve for x
    x = 258,272,161.03/17,966.27
  6. Step 6: Final answer
    x = 14,375.39

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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.