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Finding the Fourth Proportional to 13,874.88, 20,811.41 and 5,977.08

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Solution

The fourth proportional to 13,874.88, 20,811.41 and 5,977.08 is: 8,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.88 : 20,811.41 = 5,977.08 : x
  2. Step 2: Convert to fraction form
    13,874.88/20,811.41 = 5,977.08/x
  3. Step 3: Cross multiply
    13,874.88x = 20,811.41 × 5,977.08
  4. Step 4: Simplify right side
    13,874.88x = 124,391,462.48
  5. Step 5: Solve for x
    x = 124,391,462.48/13,874.88
  6. Step 6: Final answer
    x = 8,965.23

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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.