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Finding the Fourth Proportional to 22,891.20, 34,336.80 and 6,475.20

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Solution

The fourth proportional to 22,891.20, 34,336.80 and 6,475.20 is: 9,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.20 : 34,336.80 = 6,475.20 : x
  2. Step 2: Convert to fraction form
    22,891.20/34,336.80 = 6,475.20/x
  3. Step 3: Cross multiply
    22,891.20x = 34,336.80 × 6,475.20
  4. Step 4: Simplify right side
    22,891.20x = 222,337,647.36
  5. Step 5: Solve for x
    x = 222,337,647.36/22,891.20
  6. Step 6: Final answer
    x = 9,712.80

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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.