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Finding the Fourth Proportional to 12,413.68, 17,131.17 and 6,748.75

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Solution

The fourth proportional to 12,413.68, 17,131.17 and 6,748.75 is: 9,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.68 : 17,131.17 = 6,748.75 : x
  2. Step 2: Convert to fraction form
    12,413.68/17,131.17 = 6,748.75/x
  3. Step 3: Cross multiply
    12,413.68x = 17,131.17 × 6,748.75
  4. Step 4: Simplify right side
    12,413.68x = 115,613,983.54
  5. Step 5: Solve for x
    x = 115,613,983.54/12,413.68
  6. Step 6: Final answer
    x = 9,313.43

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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.