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Finding the Fourth Proportional to 23,105.26, 34,662.16 and 7,314.26

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Solution

The fourth proportional to 23,105.26, 34,662.16 and 7,314.26 is: 10,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.26 : 34,662.16 = 7,314.26 : x
  2. Step 2: Convert to fraction form
    23,105.26/34,662.16 = 7,314.26/x
  3. Step 3: Cross multiply
    23,105.26x = 34,662.16 × 7,314.26
  4. Step 4: Simplify right side
    23,105.26x = 253,528,050.40
  5. Step 5: Solve for x
    x = 253,528,050.40/23,105.26
  6. Step 6: Final answer
    x = 10,972.74

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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.