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Finding the Fourth Proportional to 22,782.57, 34,173.65 and 7,200.20

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Solution

The fourth proportional to 22,782.57, 34,173.65 and 7,200.20 is: 10,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.57 : 34,173.65 = 7,200.20 : x
  2. Step 2: Convert to fraction form
    22,782.57/34,173.65 = 7,200.20/x
  3. Step 3: Cross multiply
    22,782.57x = 34,173.65 × 7,200.20
  4. Step 4: Simplify right side
    22,782.57x = 246,057,114.73
  5. Step 5: Solve for x
    x = 246,057,114.73/22,782.57
  6. Step 6: Final answer
    x = 10,800.24

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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.