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Finding the Fourth Proportional to 20,031.52, 30,026.09 and 7,546.14

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Solution

The fourth proportional to 20,031.52, 30,026.09 and 7,546.14 is: 11,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.52 : 30,026.09 = 7,546.14 : x
  2. Step 2: Convert to fraction form
    20,031.52/30,026.09 = 7,546.14/x
  3. Step 3: Cross multiply
    20,031.52x = 30,026.09 × 7,546.14
  4. Step 4: Simplify right side
    20,031.52x = 226,581,078.79
  5. Step 5: Solve for x
    x = 226,581,078.79/20,031.52
  6. Step 6: Final answer
    x = 11,311.23

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