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Finding the Fourth Proportional to 17,546.88, 24,223.20 and 11,269.92

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Solution

The fourth proportional to 17,546.88, 24,223.20 and 11,269.92 is: 15,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.88 : 24,223.20 = 11,269.92 : x
  2. Step 2: Convert to fraction form
    17,546.88/24,223.20 = 11,269.92/x
  3. Step 3: Cross multiply
    17,546.88x = 24,223.20 × 11,269.92
  4. Step 4: Simplify right side
    17,546.88x = 272,993,526.14
  5. Step 5: Solve for x
    x = 272,993,526.14/17,546.88
  6. Step 6: Final answer
    x = 15,557.95

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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.