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Finding the Fourth Proportional to 13,986.52, 20,974.50 and 4,123

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Solution

The fourth proportional to 13,986.52, 20,974.50 and 4,123 is: 6,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.52 : 20,974.50 = 4,123 : x
  2. Step 2: Convert to fraction form
    13,986.52/20,974.50 = 4,123/x
  3. Step 3: Cross multiply
    13,986.52x = 20,974.50 × 4,123
  4. Step 4: Simplify right side
    13,986.52x = 86,477,863.50
  5. Step 5: Solve for x
    x = 86,477,863.50/13,986.52
  6. Step 6: Final answer
    x = 6,182.94

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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.