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Finding the Fourth Proportional to 16,215.54, 22,377.72 and 9,142.08

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Solution

The fourth proportional to 16,215.54, 22,377.72 and 9,142.08 is: 12,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.54 : 22,377.72 = 9,142.08 : x
  2. Step 2: Convert to fraction form
    16,215.54/22,377.72 = 9,142.08/x
  3. Step 3: Cross multiply
    16,215.54x = 22,377.72 × 9,142.08
  4. Step 4: Simplify right side
    16,215.54x = 204,578,906.46
  5. Step 5: Solve for x
    x = 204,578,906.46/16,215.54
  6. Step 6: Final answer
    x = 12,616.23

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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.