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Finding the Fourth Proportional to 13,679.78, 20,512.50 and 6,277.82

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Solution

The fourth proportional to 13,679.78, 20,512.50 and 6,277.82 is: 9,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.78 : 20,512.50 = 6,277.82 : x
  2. Step 2: Convert to fraction form
    13,679.78/20,512.50 = 6,277.82/x
  3. Step 3: Cross multiply
    13,679.78x = 20,512.50 × 6,277.82
  4. Step 4: Simplify right side
    13,679.78x = 128,773,782.75
  5. Step 5: Solve for x
    x = 128,773,782.75/13,679.78
  6. Step 6: Final answer
    x = 9,413.44

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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.