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Finding the Fourth Proportional to 22,814.85, 34,218.54 and 8,020.29

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Solution

The fourth proportional to 22,814.85, 34,218.54 and 8,020.29 is: 12,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.85 : 34,218.54 = 8,020.29 : x
  2. Step 2: Convert to fraction form
    22,814.85/34,218.54 = 8,020.29/x
  3. Step 3: Cross multiply
    22,814.85x = 34,218.54 × 8,020.29
  4. Step 4: Simplify right side
    22,814.85x = 274,442,614.18
  5. Step 5: Solve for x
    x = 274,442,614.18/22,814.85
  6. Step 6: Final answer
    x = 12,029.12

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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.