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Finding the Fourth Proportional to 12,727.74, 17,564.07 and 7,138.62

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Solution

The fourth proportional to 12,727.74, 17,564.07 and 7,138.62 is: 9,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.74 : 17,564.07 = 7,138.62 : x
  2. Step 2: Convert to fraction form
    12,727.74/17,564.07 = 7,138.62/x
  3. Step 3: Cross multiply
    12,727.74x = 17,564.07 × 7,138.62
  4. Step 4: Simplify right side
    12,727.74x = 125,383,221.38
  5. Step 5: Solve for x
    x = 125,383,221.38/12,727.74
  6. Step 6: Final answer
    x = 9,851.18

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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.