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Finding the Fourth Proportional to 13,077.35, 18,046.70 and 7,413.19

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Solution

The fourth proportional to 13,077.35, 18,046.70 and 7,413.19 is: 10,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.35 : 18,046.70 = 7,413.19 : x
  2. Step 2: Convert to fraction form
    13,077.35/18,046.70 = 7,413.19/x
  3. Step 3: Cross multiply
    13,077.35x = 18,046.70 × 7,413.19
  4. Step 4: Simplify right side
    13,077.35x = 133,783,561.59
  5. Step 5: Solve for x
    x = 133,783,561.59/13,077.35
  6. Step 6: Final answer
    x = 10,230.17

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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.