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Finding the Fourth Proportional to 13,679.48, 20,512.19 and 6,277.56

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Solution

The fourth proportional to 13,679.48, 20,512.19 and 6,277.56 is: 9,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.48 : 20,512.19 = 6,277.56 : x
  2. Step 2: Convert to fraction form
    13,679.48/20,512.19 = 6,277.56/x
  3. Step 3: Cross multiply
    13,679.48x = 20,512.19 × 6,277.56
  4. Step 4: Simplify right side
    13,679.48x = 128,766,472.07
  5. Step 5: Solve for x
    x = 128,766,472.07/13,679.48
  6. Step 6: Final answer
    x = 9,413.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.