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Finding the Fourth Proportional to 13,049.38, 18,007.61 and 7,080.82

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Solution

The fourth proportional to 13,049.38, 18,007.61 and 7,080.82 is: 9,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.38 : 18,007.61 = 7,080.82 : x
  2. Step 2: Convert to fraction form
    13,049.38/18,007.61 = 7,080.82/x
  3. Step 3: Cross multiply
    13,049.38x = 18,007.61 × 7,080.82
  4. Step 4: Simplify right side
    13,049.38x = 127,508,645.04
  5. Step 5: Solve for x
    x = 127,508,645.04/13,049.38
  6. Step 6: Final answer
    x = 9,771.24

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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.