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Finding the Fourth Proportional to 23,175.34, 34,764.24 and 7,382.10

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Solution

The fourth proportional to 23,175.34, 34,764.24 and 7,382.10 is: 11,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.34 : 34,764.24 = 7,382.10 : x
  2. Step 2: Convert to fraction form
    23,175.34/34,764.24 = 7,382.10/x
  3. Step 3: Cross multiply
    23,175.34x = 34,764.24 × 7,382.10
  4. Step 4: Simplify right side
    23,175.34x = 256,633,096.10
  5. Step 5: Solve for x
    x = 256,633,096.10/23,175.34
  6. Step 6: Final answer
    x = 11,073.54

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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.