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Finding the Fourth Proportional to 23,046.72, 34,568.86 and 7,463.13

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Solution

The fourth proportional to 23,046.72, 34,568.86 and 7,463.13 is: 11,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.72 : 34,568.86 = 7,463.13 : x
  2. Step 2: Convert to fraction form
    23,046.72/34,568.86 = 7,463.13/x
  3. Step 3: Cross multiply
    23,046.72x = 34,568.86 × 7,463.13
  4. Step 4: Simplify right side
    23,046.72x = 257,991,896.13
  5. Step 5: Solve for x
    x = 257,991,896.13/23,046.72
  6. Step 6: Final answer
    x = 11,194.30

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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.