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Finding the Fourth Proportional to 22,906.16, 34,359.40 and 7,324.40

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Solution

The fourth proportional to 22,906.16, 34,359.40 and 7,324.40 is: 10,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.16 : 34,359.40 = 7,324.40 : x
  2. Step 2: Convert to fraction form
    22,906.16/34,359.40 = 7,324.40/x
  3. Step 3: Cross multiply
    22,906.16x = 34,359.40 × 7,324.40
  4. Step 4: Simplify right side
    22,906.16x = 251,661,989.36
  5. Step 5: Solve for x
    x = 251,661,989.36/22,906.16
  6. Step 6: Final answer
    x = 10,986.65

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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.