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Finding the Fourth Proportional to 23,175.72, 34,744.14 and 9,321.48

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Solution

The fourth proportional to 23,175.72, 34,744.14 and 9,321.48 is: 13,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.72 : 34,744.14 = 9,321.48 : x
  2. Step 2: Convert to fraction form
    23,175.72/34,744.14 = 9,321.48/x
  3. Step 3: Cross multiply
    23,175.72x = 34,744.14 × 9,321.48
  4. Step 4: Simplify right side
    23,175.72x = 323,866,806.13
  5. Step 5: Solve for x
    x = 323,866,806.13/23,175.72
  6. Step 6: Final answer
    x = 13,974.40

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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.