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Finding the Fourth Proportional to 14,553.32, 20,081.22 and 8,179.16

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Solution

The fourth proportional to 14,553.32, 20,081.22 and 8,179.16 is: 11,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.32 : 20,081.22 = 8,179.16 : x
  2. Step 2: Convert to fraction form
    14,553.32/20,081.22 = 8,179.16/x
  3. Step 3: Cross multiply
    14,553.32x = 20,081.22 × 8,179.16
  4. Step 4: Simplify right side
    14,553.32x = 164,247,511.38
  5. Step 5: Solve for x
    x = 164,247,511.38/14,553.32
  6. Step 6: Final answer
    x = 11,285.91

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Why These Related Problems?

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