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Finding the Fourth Proportional to 15,200.68, 22,759.02 and 7,789.18

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Solution

The fourth proportional to 15,200.68, 22,759.02 and 7,789.18 is: 11,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.68 : 22,759.02 = 7,789.18 : x
  2. Step 2: Convert to fraction form
    15,200.68/22,759.02 = 7,789.18/x
  3. Step 3: Cross multiply
    15,200.68x = 22,759.02 × 7,789.18
  4. Step 4: Simplify right side
    15,200.68x = 177,274,103.40
  5. Step 5: Solve for x
    x = 177,274,103.40/15,200.68
  6. Step 6: Final answer
    x = 11,662.25

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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.