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Finding the Fourth Proportional to 14,596.38, 20,144.52 and 8,309.16

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Solution

The fourth proportional to 14,596.38, 20,144.52 and 8,309.16 is: 11,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.38 : 20,144.52 = 8,309.16 : x
  2. Step 2: Convert to fraction form
    14,596.38/20,144.52 = 8,309.16/x
  3. Step 3: Cross multiply
    14,596.38x = 20,144.52 × 8,309.16
  4. Step 4: Simplify right side
    14,596.38x = 167,384,039.80
  5. Step 5: Solve for x
    x = 167,384,039.80/14,596.38
  6. Step 6: Final answer
    x = 11,467.50

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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.