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Finding the Fourth Proportional to 23,174.36, 34,760.88 and 5,643.94

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Solution

The fourth proportional to 23,174.36, 34,760.88 and 5,643.94 is: 8,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.36 : 34,760.88 = 5,643.94 : x
  2. Step 2: Convert to fraction form
    23,174.36/34,760.88 = 5,643.94/x
  3. Step 3: Cross multiply
    23,174.36x = 34,760.88 × 5,643.94
  4. Step 4: Simplify right side
    23,174.36x = 196,188,321.07
  5. Step 5: Solve for x
    x = 196,188,321.07/23,174.36
  6. Step 6: Final answer
    x = 8,465.75

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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.