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Finding the Fourth Proportional to 12,702.73, 17,531.82 and 7,667.71

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Solution

The fourth proportional to 12,702.73, 17,531.82 and 7,667.71 is: 10,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.73 : 17,531.82 = 7,667.71 : x
  2. Step 2: Convert to fraction form
    12,702.73/17,531.82 = 7,667.71/x
  3. Step 3: Cross multiply
    12,702.73x = 17,531.82 × 7,667.71
  4. Step 4: Simplify right side
    12,702.73x = 134,428,911.53
  5. Step 5: Solve for x
    x = 134,428,911.53/12,702.73
  6. Step 6: Final answer
    x = 10,582.68

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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.