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Finding the Fourth Proportional to 16,215.92, 22,377.67 and 9,142.35

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Solution

The fourth proportional to 16,215.92, 22,377.67 and 9,142.35 is: 12,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.92 : 22,377.67 = 9,142.35 : x
  2. Step 2: Convert to fraction form
    16,215.92/22,377.67 = 9,142.35/x
  3. Step 3: Cross multiply
    16,215.92x = 22,377.67 × 9,142.35
  4. Step 4: Simplify right side
    16,215.92x = 204,584,491.32
  5. Step 5: Solve for x
    x = 204,584,491.32/16,215.92
  6. Step 6: Final answer
    x = 12,616.27

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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.