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Finding the Fourth Proportional to 16,414.56, 24,586.92 and 8,599.68

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Solution

The fourth proportional to 16,414.56, 24,586.92 and 8,599.68 is: 12,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.56 : 24,586.92 = 8,599.68 : x
  2. Step 2: Convert to fraction form
    16,414.56/24,586.92 = 8,599.68/x
  3. Step 3: Cross multiply
    16,414.56x = 24,586.92 × 8,599.68
  4. Step 4: Simplify right side
    16,414.56x = 211,439,644.19
  5. Step 5: Solve for x
    x = 211,439,644.19/16,414.56
  6. Step 6: Final answer
    x = 12,881.23

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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.