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Finding the Fourth Proportional to 12,456.38, 17,189.80 and 6,867.38

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Solution

The fourth proportional to 12,456.38, 17,189.80 and 6,867.38 is: 9,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.38 : 17,189.80 = 6,867.38 : x
  2. Step 2: Convert to fraction form
    12,456.38/17,189.80 = 6,867.38/x
  3. Step 3: Cross multiply
    12,456.38x = 17,189.80 × 6,867.38
  4. Step 4: Simplify right side
    12,456.38x = 118,048,785.61
  5. Step 5: Solve for x
    x = 118,048,785.61/12,456.38
  6. Step 6: Final answer
    x = 9,476.98

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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.