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Finding the Fourth Proportional to 20,338.54, 30,500.66 and 6,102.78

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Solution

The fourth proportional to 20,338.54, 30,500.66 and 6,102.78 is: 9,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.54 : 30,500.66 = 6,102.78 : x
  2. Step 2: Convert to fraction form
    20,338.54/30,500.66 = 6,102.78/x
  3. Step 3: Cross multiply
    20,338.54x = 30,500.66 × 6,102.78
  4. Step 4: Simplify right side
    20,338.54x = 186,138,817.83
  5. Step 5: Solve for x
    x = 186,138,817.83/20,338.54
  6. Step 6: Final answer
    x = 9,152.02

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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.