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Finding the Fourth Proportional to 13,522.80, 20,273.40 and 5,725.20

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Solution

The fourth proportional to 13,522.80, 20,273.40 and 5,725.20 is: 8,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.80 : 20,273.40 = 5,725.20 : x
  2. Step 2: Convert to fraction form
    13,522.80/20,273.40 = 5,725.20/x
  3. Step 3: Cross multiply
    13,522.80x = 20,273.40 × 5,725.20
  4. Step 4: Simplify right side
    13,522.80x = 116,069,269.68
  5. Step 5: Solve for x
    x = 116,069,269.68/13,522.80
  6. Step 6: Final answer
    x = 8,583.23

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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.