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Finding the Fourth Proportional to 12,778.57, 17,634.44 and 7,189.57

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Solution

The fourth proportional to 12,778.57, 17,634.44 and 7,189.57 is: 9,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.57 : 17,634.44 = 7,189.57 : x
  2. Step 2: Convert to fraction form
    12,778.57/17,634.44 = 7,189.57/x
  3. Step 3: Cross multiply
    12,778.57x = 17,634.44 × 7,189.57
  4. Step 4: Simplify right side
    12,778.57x = 126,784,040.79
  5. Step 5: Solve for x
    x = 126,784,040.79/12,778.57
  6. Step 6: Final answer
    x = 9,921.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.