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Finding the Fourth Proportional to 12,777.38, 17,632.78 and 7,188.38

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Solution

The fourth proportional to 12,777.38, 17,632.78 and 7,188.38 is: 9,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.38 : 17,632.78 = 7,188.38 : x
  2. Step 2: Convert to fraction form
    12,777.38/17,632.78 = 7,188.38/x
  3. Step 3: Cross multiply
    12,777.38x = 17,632.78 × 7,188.38
  4. Step 4: Simplify right side
    12,777.38x = 126,751,016.96
  5. Step 5: Solve for x
    x = 126,751,016.96/12,777.38
  6. Step 6: Final answer
    x = 9,919.96

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Why These Related Problems?

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