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Finding the Fourth Proportional to 22,814.96, 34,225.16 and 8,774.42

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Solution

The fourth proportional to 22,814.96, 34,225.16 and 8,774.42 is: 13,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.96 : 34,225.16 = 8,774.42 : x
  2. Step 2: Convert to fraction form
    22,814.96/34,225.16 = 8,774.42/x
  3. Step 3: Cross multiply
    22,814.96x = 34,225.16 × 8,774.42
  4. Step 4: Simplify right side
    22,814.96x = 300,305,713.41
  5. Step 5: Solve for x
    x = 300,305,713.41/22,814.96
  6. Step 6: Final answer
    x = 13,162.67

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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.