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Finding the Fourth Proportional to 17,531.16, 24,193.56 and 9,573.80

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Solution

The fourth proportional to 17,531.16, 24,193.56 and 9,573.80 is: 13,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.16 : 24,193.56 = 9,573.80 : x
  2. Step 2: Convert to fraction form
    17,531.16/24,193.56 = 9,573.80/x
  3. Step 3: Cross multiply
    17,531.16x = 24,193.56 × 9,573.80
  4. Step 4: Simplify right side
    17,531.16x = 231,624,304.73
  5. Step 5: Solve for x
    x = 231,624,304.73/17,531.16
  6. Step 6: Final answer
    x = 13,212.15

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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.