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Finding the Fourth Proportional to 13,687.38, 20,516.22 and 7,014.74

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Solution

The fourth proportional to 13,687.38, 20,516.22 and 7,014.74 is: 10,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.38 : 20,516.22 = 7,014.74 : x
  2. Step 2: Convert to fraction form
    13,687.38/20,516.22 = 7,014.74/x
  3. Step 3: Cross multiply
    13,687.38x = 20,516.22 × 7,014.74
  4. Step 4: Simplify right side
    13,687.38x = 143,915,846.50
  5. Step 5: Solve for x
    x = 143,915,846.50/13,687.38
  6. Step 6: Final answer
    x = 10,514.49

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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.