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Finding the Fourth Proportional to 22,405.20, 33,559.20 and 13,657.20

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Solution

The fourth proportional to 22,405.20, 33,559.20 and 13,657.20 is: 20,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.20 : 33,559.20 = 13,657.20 : x
  2. Step 2: Convert to fraction form
    22,405.20/33,559.20 = 13,657.20/x
  3. Step 3: Cross multiply
    22,405.20x = 33,559.20 × 13,657.20
  4. Step 4: Simplify right side
    22,405.20x = 458,324,706.24
  5. Step 5: Solve for x
    x = 458,324,706.24/22,405.20
  6. Step 6: Final answer
    x = 20,456.18

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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.