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Finding the Fourth Proportional to 14,044.65, 21,073.11 and 8,201.28

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Solution

The fourth proportional to 14,044.65, 21,073.11 and 8,201.28 is: 12,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.65 : 21,073.11 = 8,201.28 : x
  2. Step 2: Convert to fraction form
    14,044.65/21,073.11 = 8,201.28/x
  3. Step 3: Cross multiply
    14,044.65x = 21,073.11 × 8,201.28
  4. Step 4: Simplify right side
    14,044.65x = 172,826,475.58
  5. Step 5: Solve for x
    x = 172,826,475.58/14,044.65
  6. Step 6: Final answer
    x = 12,305.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.