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Finding the Fourth Proportional to 16,222.70, 24,300.20 and 8,407.82

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Solution

The fourth proportional to 16,222.70, 24,300.20 and 8,407.82 is: 12,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.70 : 24,300.20 = 8,407.82 : x
  2. Step 2: Convert to fraction form
    16,222.70/24,300.20 = 8,407.82/x
  3. Step 3: Cross multiply
    16,222.70x = 24,300.20 × 8,407.82
  4. Step 4: Simplify right side
    16,222.70x = 204,311,707.56
  5. Step 5: Solve for x
    x = 204,311,707.56/16,222.70
  6. Step 6: Final answer
    x = 12,594.19

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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.