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Finding the Fourth Proportional to 23,968.46, 35,952.68 and 6,438.29

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Solution

The fourth proportional to 23,968.46, 35,952.68 and 6,438.29 is: 9,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.46 : 35,952.68 = 6,438.29 : x
  2. Step 2: Convert to fraction form
    23,968.46/35,952.68 = 6,438.29/x
  3. Step 3: Cross multiply
    23,968.46x = 35,952.68 × 6,438.29
  4. Step 4: Simplify right side
    23,968.46x = 231,473,616.45
  5. Step 5: Solve for x
    x = 231,473,616.45/23,968.46
  6. Step 6: Final answer
    x = 9,657.42

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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.