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Finding the Fourth Proportional to 12,731.04, 17,568.42 and 7,693.38

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Solution

The fourth proportional to 12,731.04, 17,568.42 and 7,693.38 is: 10,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.04 : 17,568.42 = 7,693.38 : x
  2. Step 2: Convert to fraction form
    12,731.04/17,568.42 = 7,693.38/x
  3. Step 3: Cross multiply
    12,731.04x = 17,568.42 × 7,693.38
  4. Step 4: Simplify right side
    12,731.04x = 135,160,531.06
  5. Step 5: Solve for x
    x = 135,160,531.06/12,731.04
  6. Step 6: Final answer
    x = 10,616.61

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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.