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Finding the Fourth Proportional to 12,413.31, 17,132.86 and 7,376.56

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Solution

The fourth proportional to 12,413.31, 17,132.86 and 7,376.56 is: 10,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.31 : 17,132.86 = 7,376.56 : x
  2. Step 2: Convert to fraction form
    12,413.31/17,132.86 = 7,376.56/x
  3. Step 3: Cross multiply
    12,413.31x = 17,132.86 × 7,376.56
  4. Step 4: Simplify right side
    12,413.31x = 126,381,629.18
  5. Step 5: Solve for x
    x = 126,381,629.18/12,413.31
  6. Step 6: Final answer
    x = 10,181.13

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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.