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Finding the Fourth Proportional to 22,463.36, 33,680.64 and 9,324.80

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Solution

The fourth proportional to 22,463.36, 33,680.64 and 9,324.80 is: 13,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.36 : 33,680.64 = 9,324.80 : x
  2. Step 2: Convert to fraction form
    22,463.36/33,680.64 = 9,324.80/x
  3. Step 3: Cross multiply
    22,463.36x = 33,680.64 × 9,324.80
  4. Step 4: Simplify right side
    22,463.36x = 314,065,231.87
  5. Step 5: Solve for x
    x = 314,065,231.87/22,463.36
  6. Step 6: Final answer
    x = 13,981.22

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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.