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Finding the Fourth Proportional to 13,963.50, 20,960.17 and 5,648.95

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Solution

The fourth proportional to 13,963.50, 20,960.17 and 5,648.95 is: 8,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.50 : 20,960.17 = 5,648.95 : x
  2. Step 2: Convert to fraction form
    13,963.50/20,960.17 = 5,648.95/x
  3. Step 3: Cross multiply
    13,963.50x = 20,960.17 × 5,648.95
  4. Step 4: Simplify right side
    13,963.50x = 118,403,003.35
  5. Step 5: Solve for x
    x = 118,403,003.35/13,963.50
  6. Step 6: Final answer
    x = 8,479.46

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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.