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Finding the Fourth Proportional to 16,586.40, 24,846.24 and 8,241.15

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Solution

The fourth proportional to 16,586.40, 24,846.24 and 8,241.15 is: 12,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.40 : 24,846.24 = 8,241.15 : x
  2. Step 2: Convert to fraction form
    16,586.40/24,846.24 = 8,241.15/x
  3. Step 3: Cross multiply
    16,586.40x = 24,846.24 × 8,241.15
  4. Step 4: Simplify right side
    16,586.40x = 204,761,590.78
  5. Step 5: Solve for x
    x = 204,761,590.78/16,586.40
  6. Step 6: Final answer
    x = 12,345.15

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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.