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Finding the Fourth Proportional to 22,234.17, 33,338.96 and 9,095.78

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Solution

The fourth proportional to 22,234.17, 33,338.96 and 9,095.78 is: 13,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.17 : 33,338.96 = 9,095.78 : x
  2. Step 2: Convert to fraction form
    22,234.17/33,338.96 = 9,095.78/x
  3. Step 3: Cross multiply
    22,234.17x = 33,338.96 × 9,095.78
  4. Step 4: Simplify right side
    22,234.17x = 303,243,633.42
  5. Step 5: Solve for x
    x = 303,243,633.42/22,234.17
  6. Step 6: Final answer
    x = 13,638.63

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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.