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Finding the Fourth Proportional to 23,198.43, 34,794.05 and 7,615.95

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Solution

The fourth proportional to 23,198.43, 34,794.05 and 7,615.95 is: 11,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.43 : 34,794.05 = 7,615.95 : x
  2. Step 2: Convert to fraction form
    23,198.43/34,794.05 = 7,615.95/x
  3. Step 3: Cross multiply
    23,198.43x = 34,794.05 × 7,615.95
  4. Step 4: Simplify right side
    23,198.43x = 264,989,707.02
  5. Step 5: Solve for x
    x = 264,989,707.02/23,198.43
  6. Step 6: Final answer
    x = 11,422.74

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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.