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Finding the Fourth Proportional to 22,808.69, 34,213.05 and 8,014.22

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Solution

The fourth proportional to 22,808.69, 34,213.05 and 8,014.22 is: 12,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.69 : 34,213.05 = 8,014.22 : x
  2. Step 2: Convert to fraction form
    22,808.69/34,213.05 = 8,014.22/x
  3. Step 3: Cross multiply
    22,808.69x = 34,213.05 × 8,014.22
  4. Step 4: Simplify right side
    22,808.69x = 274,190,909.57
  5. Step 5: Solve for x
    x = 274,190,909.57/22,808.69
  6. Step 6: Final answer
    x = 12,021.34

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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.