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Finding the Fourth Proportional to 24,202.40, 36,216.92 and 17,546.64

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Solution

The fourth proportional to 24,202.40, 36,216.92 and 17,546.64 is: 26,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.40 : 36,216.92 = 17,546.64 : x
  2. Step 2: Convert to fraction form
    24,202.40/36,216.92 = 17,546.64/x
  3. Step 3: Cross multiply
    24,202.40x = 36,216.92 × 17,546.64
  4. Step 4: Simplify right side
    24,202.40x = 635,485,257.15
  5. Step 5: Solve for x
    x = 635,485,257.15/24,202.40
  6. Step 6: Final answer
    x = 26,257.12

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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.