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Finding the Fourth Proportional to 12,531.68, 17,294.28 and 6,942.32

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Solution

The fourth proportional to 12,531.68, 17,294.28 and 6,942.32 is: 9,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.68 : 17,294.28 = 6,942.32 : x
  2. Step 2: Convert to fraction form
    12,531.68/17,294.28 = 6,942.32/x
  3. Step 3: Cross multiply
    12,531.68x = 17,294.28 × 6,942.32
  4. Step 4: Simplify right side
    12,531.68x = 120,062,425.93
  5. Step 5: Solve for x
    x = 120,062,425.93/12,531.68
  6. Step 6: Final answer
    x = 9,580.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.