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Finding the Fourth Proportional to 13,651.59, 20,471.59 and 5,757.63

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Solution

The fourth proportional to 13,651.59, 20,471.59 and 5,757.63 is: 8,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.59 : 20,471.59 = 5,757.63 : x
  2. Step 2: Convert to fraction form
    13,651.59/20,471.59 = 5,757.63/x
  3. Step 3: Cross multiply
    13,651.59x = 20,471.59 × 5,757.63
  4. Step 4: Simplify right side
    13,651.59x = 117,867,853.93
  5. Step 5: Solve for x
    x = 117,867,853.93/13,651.59
  6. Step 6: Final answer
    x = 8,634.00

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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.