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Finding the Fourth Proportional to 12,581.76, 17,365.92 and 7,275.80

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Solution

The fourth proportional to 12,581.76, 17,365.92 and 7,275.80 is: 10,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.76 : 17,365.92 = 7,275.80 : x
  2. Step 2: Convert to fraction form
    12,581.76/17,365.92 = 7,275.80/x
  3. Step 3: Cross multiply
    12,581.76x = 17,365.92 × 7,275.80
  4. Step 4: Simplify right side
    12,581.76x = 126,350,960.74
  5. Step 5: Solve for x
    x = 126,350,960.74/12,581.76
  6. Step 6: Final answer
    x = 10,042.39

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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.