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Finding the Fourth Proportional to 12,805.38, 17,670.12 and 7,139.59

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Solution

The fourth proportional to 12,805.38, 17,670.12 and 7,139.59 is: 9,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.38 : 17,670.12 = 7,139.59 : x
  2. Step 2: Convert to fraction form
    12,805.38/17,670.12 = 7,139.59/x
  3. Step 3: Cross multiply
    12,805.38x = 17,670.12 × 7,139.59
  4. Step 4: Simplify right side
    12,805.38x = 126,157,323.70
  5. Step 5: Solve for x
    x = 126,157,323.70/12,805.38
  6. Step 6: Final answer
    x = 9,851.90

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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.