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Finding the Fourth Proportional to 17,711.12, 24,264.34 and 17,046.80

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Solution

The fourth proportional to 17,711.12, 24,264.34 and 17,046.80 is: 23,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.12 : 24,264.34 = 17,046.80 : x
  2. Step 2: Convert to fraction form
    17,711.12/24,264.34 = 17,046.80/x
  3. Step 3: Cross multiply
    17,711.12x = 24,264.34 × 17,046.80
  4. Step 4: Simplify right side
    17,711.12x = 413,629,351.11
  5. Step 5: Solve for x
    x = 413,629,351.11/17,711.12
  6. Step 6: Final answer
    x = 23,354.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.