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Finding the Fourth Proportional to 24,546.80, 36,820.20 and 21,825.20

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Solution

The fourth proportional to 24,546.80, 36,820.20 and 21,825.20 is: 32,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.80 : 36,820.20 = 21,825.20 : x
  2. Step 2: Convert to fraction form
    24,546.80/36,820.20 = 21,825.20/x
  3. Step 3: Cross multiply
    24,546.80x = 36,820.20 × 21,825.20
  4. Step 4: Simplify right side
    24,546.80x = 803,608,229.04
  5. Step 5: Solve for x
    x = 803,608,229.04/24,546.80
  6. Step 6: Final answer
    x = 32,737.80

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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.