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Finding the Fourth Proportional to 12,778.02, 17,633.70 and 7,189.02

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Solution

The fourth proportional to 12,778.02, 17,633.70 and 7,189.02 is: 9,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.02 : 17,633.70 = 7,189.02 : x
  2. Step 2: Convert to fraction form
    12,778.02/17,633.70 = 7,189.02/x
  3. Step 3: Cross multiply
    12,778.02x = 17,633.70 × 7,189.02
  4. Step 4: Simplify right side
    12,778.02x = 126,769,021.97
  5. Step 5: Solve for x
    x = 126,769,021.97/12,778.02
  6. Step 6: Final answer
    x = 9,920.87

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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.