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Finding the Fourth Proportional to 13,009.38, 17,961.74 and 8,540.73

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Solution

The fourth proportional to 13,009.38, 17,961.74 and 8,540.73 is: 11,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.38 : 17,961.74 = 8,540.73 : x
  2. Step 2: Convert to fraction form
    13,009.38/17,961.74 = 8,540.73/x
  3. Step 3: Cross multiply
    13,009.38x = 17,961.74 × 8,540.73
  4. Step 4: Simplify right side
    13,009.38x = 153,406,328.97
  5. Step 5: Solve for x
    x = 153,406,328.97/13,009.38
  6. Step 6: Final answer
    x = 11,791.98

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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.