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Finding the Fourth Proportional to 12,580.82, 17,357.79 and 8,996.87

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Solution

The fourth proportional to 12,580.82, 17,357.79 and 8,996.87 is: 12,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.82 : 17,357.79 = 8,996.87 : x
  2. Step 2: Convert to fraction form
    12,580.82/17,357.79 = 8,996.87/x
  3. Step 3: Cross multiply
    12,580.82x = 17,357.79 × 8,996.87
  4. Step 4: Simplify right side
    12,580.82x = 156,165,857.25
  5. Step 5: Solve for x
    x = 156,165,857.25/12,580.82
  6. Step 6: Final answer
    x = 12,413.01

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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.