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Finding the Fourth Proportional to 10,067.56, 15,161.62 and 9,169.74

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Solution

The fourth proportional to 10,067.56, 15,161.62 and 9,169.74 is: 13,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.56 : 15,161.62 = 9,169.74 : x
  2. Step 2: Convert to fraction form
    10,067.56/15,161.62 = 9,169.74/x
  3. Step 3: Cross multiply
    10,067.56x = 15,161.62 × 9,169.74
  4. Step 4: Simplify right side
    10,067.56x = 139,028,113.38
  5. Step 5: Solve for x
    x = 139,028,113.38/10,067.56
  6. Step 6: Final answer
    x = 13,809.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.