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Finding the Fourth Proportional to 13,701.46, 18,908 and 7,413.82

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Solution

The fourth proportional to 13,701.46, 18,908 and 7,413.82 is: 10,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.46 : 18,908 = 7,413.82 : x
  2. Step 2: Convert to fraction form
    13,701.46/18,908 = 7,413.82/x
  3. Step 3: Cross multiply
    13,701.46x = 18,908 × 7,413.82
  4. Step 4: Simplify right side
    13,701.46x = 140,180,508.56
  5. Step 5: Solve for x
    x = 140,180,508.56/13,701.46
  6. Step 6: Final answer
    x = 10,231.06

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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.