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Finding the Fourth Proportional to 23,447.14, 35,167.01 and 7,652.09

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Solution

The fourth proportional to 23,447.14, 35,167.01 and 7,652.09 is: 11,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.14 : 35,167.01 = 7,652.09 : x
  2. Step 2: Convert to fraction form
    23,447.14/35,167.01 = 7,652.09/x
  3. Step 3: Cross multiply
    23,447.14x = 35,167.01 × 7,652.09
  4. Step 4: Simplify right side
    23,447.14x = 269,101,020.44
  5. Step 5: Solve for x
    x = 269,101,020.44/23,447.14
  6. Step 6: Final answer
    x = 11,476.92

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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.