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Finding the Fourth Proportional to 20,026.98, 30,044.71 and 7,546.74

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Solution

The fourth proportional to 20,026.98, 30,044.71 and 7,546.74 is: 11,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.98 : 30,044.71 = 7,546.74 : x
  2. Step 2: Convert to fraction form
    20,026.98/30,044.71 = 7,546.74/x
  3. Step 3: Cross multiply
    20,026.98x = 30,044.71 × 7,546.74
  4. Step 4: Simplify right side
    20,026.98x = 226,739,469.06
  5. Step 5: Solve for x
    x = 226,739,469.06/20,026.98
  6. Step 6: Final answer
    x = 11,321.70

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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.