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Finding the Fourth Proportional to 12,778.92, 17,633.70 and 7,189.56

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Solution

The fourth proportional to 12,778.92, 17,633.70 and 7,189.56 is: 9,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.92 : 17,633.70 = 7,189.56 : x
  2. Step 2: Convert to fraction form
    12,778.92/17,633.70 = 7,189.56/x
  3. Step 3: Cross multiply
    12,778.92x = 17,633.70 × 7,189.56
  4. Step 4: Simplify right side
    12,778.92x = 126,778,544.17
  5. Step 5: Solve for x
    x = 126,778,544.17/12,778.92
  6. Step 6: Final answer
    x = 9,920.91

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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.