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Finding the Fourth Proportional to 23,213.96, 34,834.78 and 8,424.03

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Solution

The fourth proportional to 23,213.96, 34,834.78 and 8,424.03 is: 12,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.96 : 34,834.78 = 8,424.03 : x
  2. Step 2: Convert to fraction form
    23,213.96/34,834.78 = 8,424.03/x
  3. Step 3: Cross multiply
    23,213.96x = 34,834.78 × 8,424.03
  4. Step 4: Simplify right side
    23,213.96x = 293,449,341.33
  5. Step 5: Solve for x
    x = 293,449,341.33/23,213.96
  6. Step 6: Final answer
    x = 12,641.07

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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.