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Finding the Fourth Proportional to 12,454.79, 18,682.26 and 3,689.78

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Solution

The fourth proportional to 12,454.79, 18,682.26 and 3,689.78 is: 5,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.79 : 18,682.26 = 3,689.78 : x
  2. Step 2: Convert to fraction form
    12,454.79/18,682.26 = 3,689.78/x
  3. Step 3: Cross multiply
    12,454.79x = 18,682.26 × 3,689.78
  4. Step 4: Simplify right side
    12,454.79x = 68,933,410.85
  5. Step 5: Solve for x
    x = 68,933,410.85/12,454.79
  6. Step 6: Final answer
    x = 5,534.69

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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.