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Finding the Fourth Proportional to 23,198.68, 34,794.42 and 7,616.20

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Solution

The fourth proportional to 23,198.68, 34,794.42 and 7,616.20 is: 11,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.68 : 34,794.42 = 7,616.20 : x
  2. Step 2: Convert to fraction form
    23,198.68/34,794.42 = 7,616.20/x
  3. Step 3: Cross multiply
    23,198.68x = 34,794.42 × 7,616.20
  4. Step 4: Simplify right side
    23,198.68x = 265,001,261.60
  5. Step 5: Solve for x
    x = 265,001,261.60/23,198.68
  6. Step 6: Final answer
    x = 11,423.12

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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.