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Finding the Fourth Proportional to 12,413.15, 17,129.12 and 7,307.85

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Solution

The fourth proportional to 12,413.15, 17,129.12 and 7,307.85 is: 10,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.15 : 17,129.12 = 7,307.85 : x
  2. Step 2: Convert to fraction form
    12,413.15/17,129.12 = 7,307.85/x
  3. Step 3: Cross multiply
    12,413.15x = 17,129.12 × 7,307.85
  4. Step 4: Simplify right side
    12,413.15x = 125,177,039.59
  5. Step 5: Solve for x
    x = 125,177,039.59/12,413.15
  6. Step 6: Final answer
    x = 10,084.23

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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.