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Finding the Fourth Proportional to 12,413.16, 17,132.64 and 7,380.17

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Solution

The fourth proportional to 12,413.16, 17,132.64 and 7,380.17 is: 10,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.16 : 17,132.64 = 7,380.17 : x
  2. Step 2: Convert to fraction form
    12,413.16/17,132.64 = 7,380.17/x
  3. Step 3: Cross multiply
    12,413.16x = 17,132.64 × 7,380.17
  4. Step 4: Simplify right side
    12,413.16x = 126,441,795.75
  5. Step 5: Solve for x
    x = 126,441,795.75/12,413.16
  6. Step 6: Final answer
    x = 10,186.11

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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.