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Finding the Fourth Proportional to 17,531.78, 24,193.62 and 9,574.22

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Solution

The fourth proportional to 17,531.78, 24,193.62 and 9,574.22 is: 13,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.78 : 24,193.62 = 9,574.22 : x
  2. Step 2: Convert to fraction form
    17,531.78/24,193.62 = 9,574.22/x
  3. Step 3: Cross multiply
    17,531.78x = 24,193.62 × 9,574.22
  4. Step 4: Simplify right side
    17,531.78x = 231,635,040.48
  5. Step 5: Solve for x
    x = 231,635,040.48/17,531.78
  6. Step 6: Final answer
    x = 13,212.29

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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.