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Finding the Fourth Proportional to 23,019.29, 34,536.23 and 8,227.88

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Solution

The fourth proportional to 23,019.29, 34,536.23 and 8,227.88 is: 12,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.29 : 34,536.23 = 8,227.88 : x
  2. Step 2: Convert to fraction form
    23,019.29/34,536.23 = 8,227.88/x
  3. Step 3: Cross multiply
    23,019.29x = 34,536.23 × 8,227.88
  4. Step 4: Simplify right side
    23,019.29x = 284,159,742.27
  5. Step 5: Solve for x
    x = 284,159,742.27/23,019.29
  6. Step 6: Final answer
    x = 12,344.42

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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.