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Finding the Fourth Proportional to 22,814.88, 34,225.44 and 8,020.41

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Solution

The fourth proportional to 22,814.88, 34,225.44 and 8,020.41 is: 12,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.88 : 34,225.44 = 8,020.41 : x
  2. Step 2: Convert to fraction form
    22,814.88/34,225.44 = 8,020.41/x
  3. Step 3: Cross multiply
    22,814.88x = 34,225.44 × 8,020.41
  4. Step 4: Simplify right side
    22,814.88x = 274,502,061.23
  5. Step 5: Solve for x
    x = 274,502,061.23/22,814.88
  6. Step 6: Final answer
    x = 12,031.71

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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.