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Finding the Fourth Proportional to 22,814.96, 34,224.23 and 8,027.19

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Solution

The fourth proportional to 22,814.96, 34,224.23 and 8,027.19 is: 12,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.96 : 34,224.23 = 8,027.19 : x
  2. Step 2: Convert to fraction form
    22,814.96/34,224.23 = 8,027.19/x
  3. Step 3: Cross multiply
    22,814.96x = 34,224.23 × 8,027.19
  4. Step 4: Simplify right side
    22,814.96x = 274,724,416.88
  5. Step 5: Solve for x
    x = 274,724,416.88/22,814.96
  6. Step 6: Final answer
    x = 12,041.42

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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.