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Finding the Fourth Proportional to 23,198.38, 34,799.52 and 7,405.66

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Solution

The fourth proportional to 23,198.38, 34,799.52 and 7,405.66 is: 11,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.38 : 34,799.52 = 7,405.66 : x
  2. Step 2: Convert to fraction form
    23,198.38/34,799.52 = 7,405.66/x
  3. Step 3: Cross multiply
    23,198.38x = 34,799.52 × 7,405.66
  4. Step 4: Simplify right side
    23,198.38x = 257,713,422.07
  5. Step 5: Solve for x
    x = 257,713,422.07/23,198.38
  6. Step 6: Final answer
    x = 11,109.11

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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.