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Finding the Fourth Proportional to 16,217.16, 22,377.78 and 9,143.16

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Solution

The fourth proportional to 16,217.16, 22,377.78 and 9,143.16 is: 12,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.16 : 22,377.78 = 9,143.16 : x
  2. Step 2: Convert to fraction form
    16,217.16/22,377.78 = 9,143.16/x
  3. Step 3: Cross multiply
    16,217.16x = 22,377.78 × 9,143.16
  4. Step 4: Simplify right side
    16,217.16x = 204,603,622.98
  5. Step 5: Solve for x
    x = 204,603,622.98/16,217.16
  6. Step 6: Final answer
    x = 12,616.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.