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Finding the Fourth Proportional to 16,586.78, 24,880.77 and 5,494.43

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Solution

The fourth proportional to 16,586.78, 24,880.77 and 5,494.43 is: 8,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.78 : 24,880.77 = 5,494.43 : x
  2. Step 2: Convert to fraction form
    16,586.78/24,880.77 = 5,494.43/x
  3. Step 3: Cross multiply
    16,586.78x = 24,880.77 × 5,494.43
  4. Step 4: Simplify right side
    16,586.78x = 136,705,711.31
  5. Step 5: Solve for x
    x = 136,705,711.31/16,586.78
  6. Step 6: Final answer
    x = 8,241.85

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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.