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Finding the Fourth Proportional to 16,217.70, 24,292.71 and 8,402.82

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Solution

The fourth proportional to 16,217.70, 24,292.71 and 8,402.82 is: 12,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.70 : 24,292.71 = 8,402.82 : x
  2. Step 2: Convert to fraction form
    16,217.70/24,292.71 = 8,402.82/x
  3. Step 3: Cross multiply
    16,217.70x = 24,292.71 × 8,402.82
  4. Step 4: Simplify right side
    16,217.70x = 204,127,269.44
  5. Step 5: Solve for x
    x = 204,127,269.44/16,217.70
  6. Step 6: Final answer
    x = 12,586.70

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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.