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Finding the Fourth Proportional to 20,687.40, 31,031.28 and 5,896.30

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Solution

The fourth proportional to 20,687.40, 31,031.28 and 5,896.30 is: 8,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.40 : 31,031.28 = 5,896.30 : x
  2. Step 2: Convert to fraction form
    20,687.40/31,031.28 = 5,896.30/x
  3. Step 3: Cross multiply
    20,687.40x = 31,031.28 × 5,896.30
  4. Step 4: Simplify right side
    20,687.40x = 182,969,736.26
  5. Step 5: Solve for x
    x = 182,969,736.26/20,687.40
  6. Step 6: Final answer
    x = 8,844.50

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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.