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Finding the Fourth Proportional to 23,142.26, 34,706.22 and 8,349.26

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Solution

The fourth proportional to 23,142.26, 34,706.22 and 8,349.26 is: 12,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.26 : 34,706.22 = 8,349.26 : x
  2. Step 2: Convert to fraction form
    23,142.26/34,706.22 = 8,349.26/x
  3. Step 3: Cross multiply
    23,142.26x = 34,706.22 × 8,349.26
  4. Step 4: Simplify right side
    23,142.26x = 289,771,039.12
  5. Step 5: Solve for x
    x = 289,771,039.12/23,142.26
  6. Step 6: Final answer
    x = 12,521.29

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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.