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Finding the Fourth Proportional to 13,974.97, 20,963.07 and 4,615.81

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Solution

The fourth proportional to 13,974.97, 20,963.07 and 4,615.81 is: 6,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.97 : 20,963.07 = 4,615.81 : x
  2. Step 2: Convert to fraction form
    13,974.97/20,963.07 = 4,615.81/x
  3. Step 3: Cross multiply
    13,974.97x = 20,963.07 × 4,615.81
  4. Step 4: Simplify right side
    13,974.97x = 96,761,548.14
  5. Step 5: Solve for x
    x = 96,761,548.14/13,974.97
  6. Step 6: Final answer
    x = 6,923.92

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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.