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Finding the Fourth Proportional to 20,288.78, 30,430.80 and 5,496.80

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Solution

The fourth proportional to 20,288.78, 30,430.80 and 5,496.80 is: 8,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.78 : 30,430.80 = 5,496.80 : x
  2. Step 2: Convert to fraction form
    20,288.78/30,430.80 = 5,496.80/x
  3. Step 3: Cross multiply
    20,288.78x = 30,430.80 × 5,496.80
  4. Step 4: Simplify right side
    20,288.78x = 167,272,021.44
  5. Step 5: Solve for x
    x = 167,272,021.44/20,288.78
  6. Step 6: Final answer
    x = 8,244.56

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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.