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Finding the Fourth Proportional to 13,642.98, 20,454.63 and 4,277.96

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Solution

The fourth proportional to 13,642.98, 20,454.63 and 4,277.96 is: 6,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.98 : 20,454.63 = 4,277.96 : x
  2. Step 2: Convert to fraction form
    13,642.98/20,454.63 = 4,277.96/x
  3. Step 3: Cross multiply
    13,642.98x = 20,454.63 × 4,277.96
  4. Step 4: Simplify right side
    13,642.98x = 87,504,162.40
  5. Step 5: Solve for x
    x = 87,504,162.40/13,642.98
  6. Step 6: Final answer
    x = 6,413.86

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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.