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Finding the Fourth Proportional to 21,170.50, 31,757.08 and 7,129.38

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Solution

The fourth proportional to 21,170.50, 31,757.08 and 7,129.38 is: 10,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.50 : 31,757.08 = 7,129.38 : x
  2. Step 2: Convert to fraction form
    21,170.50/31,757.08 = 7,129.38/x
  3. Step 3: Cross multiply
    21,170.50x = 31,757.08 × 7,129.38
  4. Step 4: Simplify right side
    21,170.50x = 226,408,291.01
  5. Step 5: Solve for x
    x = 226,408,291.01/21,170.50
  6. Step 6: Final answer
    x = 10,694.52

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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.