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Finding the Fourth Proportional to 16,217.29, 24,311.31 and 5,826.61

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Solution

The fourth proportional to 16,217.29, 24,311.31 and 5,826.61 is: 8,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.29 : 24,311.31 = 5,826.61 : x
  2. Step 2: Convert to fraction form
    16,217.29/24,311.31 = 5,826.61/x
  3. Step 3: Cross multiply
    16,217.29x = 24,311.31 × 5,826.61
  4. Step 4: Simplify right side
    16,217.29x = 141,652,521.96
  5. Step 5: Solve for x
    x = 141,652,521.96/16,217.29
  6. Step 6: Final answer
    x = 8,734.66

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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.