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Finding the Fourth Proportional to 13,977.54, 20,938.68 and 8,414.46

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Solution

The fourth proportional to 13,977.54, 20,938.68 and 8,414.46 is: 12,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.54 : 20,938.68 = 8,414.46 : x
  2. Step 2: Convert to fraction form
    13,977.54/20,938.68 = 8,414.46/x
  3. Step 3: Cross multiply
    13,977.54x = 20,938.68 × 8,414.46
  4. Step 4: Simplify right side
    13,977.54x = 176,187,685.31
  5. Step 5: Solve for x
    x = 176,187,685.31/13,977.54
  6. Step 6: Final answer
    x = 12,605.06

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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.