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Finding the Fourth Proportional to 20,290.78, 30,433.80 and 5,498.80

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Solution

The fourth proportional to 20,290.78, 30,433.80 and 5,498.80 is: 8,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.78 : 30,433.80 = 5,498.80 : x
  2. Step 2: Convert to fraction form
    20,290.78/30,433.80 = 5,498.80/x
  3. Step 3: Cross multiply
    20,290.78x = 30,433.80 × 5,498.80
  4. Step 4: Simplify right side
    20,290.78x = 167,349,379.44
  5. Step 5: Solve for x
    x = 167,349,379.44/20,290.78
  6. Step 6: Final answer
    x = 8,247.56

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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.