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Finding the Fourth Proportional to 23,020.86, 34,531.50 and 8,219.43

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Solution

The fourth proportional to 23,020.86, 34,531.50 and 8,219.43 is: 12,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.86 : 34,531.50 = 8,219.43 : x
  2. Step 2: Convert to fraction form
    23,020.86/34,531.50 = 8,219.43/x
  3. Step 3: Cross multiply
    23,020.86x = 34,531.50 × 8,219.43
  4. Step 4: Simplify right side
    23,020.86x = 283,829,247.05
  5. Step 5: Solve for x
    x = 283,829,247.05/23,020.86
  6. Step 6: Final answer
    x = 12,329.22

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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.