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Finding the Fourth Proportional to 10,023.41, 15,018.69 and 5,338.44

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Solution

The fourth proportional to 10,023.41, 15,018.69 and 5,338.44 is: 7,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.41 : 15,018.69 = 5,338.44 : x
  2. Step 2: Convert to fraction form
    10,023.41/15,018.69 = 5,338.44/x
  3. Step 3: Cross multiply
    10,023.41x = 15,018.69 × 5,338.44
  4. Step 4: Simplify right side
    10,023.41x = 80,176,375.44
  5. Step 5: Solve for x
    x = 80,176,375.44/10,023.41
  6. Step 6: Final answer
    x = 7,998.91

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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.