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Finding the Fourth Proportional to 22,994.46, 34,472.87 and 11,904.31

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Solution

The fourth proportional to 22,994.46, 34,472.87 and 11,904.31 is: 17,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.46 : 34,472.87 = 11,904.31 : x
  2. Step 2: Convert to fraction form
    22,994.46/34,472.87 = 11,904.31/x
  3. Step 3: Cross multiply
    22,994.46x = 34,472.87 × 11,904.31
  4. Step 4: Simplify right side
    22,994.46x = 410,375,731.07
  5. Step 5: Solve for x
    x = 410,375,731.07/22,994.46
  6. Step 6: Final answer
    x = 17,846.73

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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.