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Finding the Fourth Proportional to 22,174.96, 33,262.38 and 9,024.22

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Solution

The fourth proportional to 22,174.96, 33,262.38 and 9,024.22 is: 13,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174.96 : 33,262.38 = 9,024.22 : x
  2. Step 2: Convert to fraction form
    22,174.96/33,262.38 = 9,024.22/x
  3. Step 3: Cross multiply
    22,174.96x = 33,262.38 × 9,024.22
  4. Step 4: Simplify right side
    22,174.96x = 300,167,034.84
  5. Step 5: Solve for x
    x = 300,167,034.84/22,174.96
  6. Step 6: Final answer
    x = 13,536.31

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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.