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Finding the Fourth Proportional to 22,424.40, 33,633.90 and 9,275.22

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Solution

The fourth proportional to 22,424.40, 33,633.90 and 9,275.22 is: 13,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.40 : 33,633.90 = 9,275.22 : x
  2. Step 2: Convert to fraction form
    22,424.40/33,633.90 = 9,275.22/x
  3. Step 3: Cross multiply
    22,424.40x = 33,633.90 × 9,275.22
  4. Step 4: Simplify right side
    22,424.40x = 311,961,821.96
  5. Step 5: Solve for x
    x = 311,961,821.96/22,424.40
  6. Step 6: Final answer
    x = 13,911.71

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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.