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Finding the Fourth Proportional to 23,198.76, 34,804.62 and 9,150.12

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Solution

The fourth proportional to 23,198.76, 34,804.62 and 9,150.12 is: 13,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.76 : 34,804.62 = 9,150.12 : x
  2. Step 2: Convert to fraction form
    23,198.76/34,804.62 = 9,150.12/x
  3. Step 3: Cross multiply
    23,198.76x = 34,804.62 × 9,150.12
  4. Step 4: Simplify right side
    23,198.76x = 318,466,449.55
  5. Step 5: Solve for x
    x = 318,466,449.55/23,198.76
  6. Step 6: Final answer
    x = 13,727.74

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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.