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Finding the Fourth Proportional to 23,342.67, 35,016.14 and 9,299.29

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Solution

The fourth proportional to 23,342.67, 35,016.14 and 9,299.29 is: 13,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.67 : 35,016.14 = 9,299.29 : x
  2. Step 2: Convert to fraction form
    23,342.67/35,016.14 = 9,299.29/x
  3. Step 3: Cross multiply
    23,342.67x = 35,016.14 × 9,299.29
  4. Step 4: Simplify right side
    23,342.67x = 325,625,194.04
  5. Step 5: Solve for x
    x = 325,625,194.04/23,342.67
  6. Step 6: Final answer
    x = 13,949.79

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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.