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Finding the Fourth Proportional to 17,675.25, 24,391.22 and 9,717.42

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Solution

The fourth proportional to 17,675.25, 24,391.22 and 9,717.42 is: 13,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.25 : 24,391.22 = 9,717.42 : x
  2. Step 2: Convert to fraction form
    17,675.25/24,391.22 = 9,717.42/x
  3. Step 3: Cross multiply
    17,675.25x = 24,391.22 × 9,717.42
  4. Step 4: Simplify right side
    17,675.25x = 237,019,729.05
  5. Step 5: Solve for x
    x = 237,019,729.05/17,675.25
  6. Step 6: Final answer
    x = 13,409.70

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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.