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Finding the Fourth Proportional to 22,182.96, 33,274.38 and 9,032.24

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Solution

The fourth proportional to 22,182.96, 33,274.38 and 9,032.24 is: 13,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.96 : 33,274.38 = 9,032.24 : x
  2. Step 2: Convert to fraction form
    22,182.96/33,274.38 = 9,032.24/x
  3. Step 3: Cross multiply
    22,182.96x = 33,274.38 × 9,032.24
  4. Step 4: Simplify right side
    22,182.96x = 300,542,186.01
  5. Step 5: Solve for x
    x = 300,542,186.01/22,182.96
  6. Step 6: Final answer
    x = 13,548.34

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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.