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Finding the Fourth Proportional to 16,197.33, 24,257.11 and 9,257.25

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Solution

The fourth proportional to 16,197.33, 24,257.11 and 9,257.25 is: 13,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.33 : 24,257.11 = 9,257.25 : x
  2. Step 2: Convert to fraction form
    16,197.33/24,257.11 = 9,257.25/x
  3. Step 3: Cross multiply
    16,197.33x = 24,257.11 × 9,257.25
  4. Step 4: Simplify right side
    16,197.33x = 224,554,131.55
  5. Step 5: Solve for x
    x = 224,554,131.55/16,197.33
  6. Step 6: Final answer
    x = 13,863.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.