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Finding the Fourth Proportional to 22,954.71, 34,450.52 and 11,864.64

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Solution

The fourth proportional to 22,954.71, 34,450.52 and 11,864.64 is: 17,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.71 : 34,450.52 = 11,864.64 : x
  2. Step 2: Convert to fraction form
    22,954.71/34,450.52 = 11,864.64/x
  3. Step 3: Cross multiply
    22,954.71x = 34,450.52 × 11,864.64
  4. Step 4: Simplify right side
    22,954.71x = 408,743,087.48
  5. Step 5: Solve for x
    x = 408,743,087.48/22,954.71
  6. Step 6: Final answer
    x = 17,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.