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Finding the Fourth Proportional to 22,704.71, 34,057.26 and 7,913.61

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Solution

The fourth proportional to 22,704.71, 34,057.26 and 7,913.61 is: 11,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.71 : 34,057.26 = 7,913.61 : x
  2. Step 2: Convert to fraction form
    22,704.71/34,057.26 = 7,913.61/x
  3. Step 3: Cross multiply
    22,704.71x = 34,057.26 × 7,913.61
  4. Step 4: Simplify right side
    22,704.71x = 269,515,775.27
  5. Step 5: Solve for x
    x = 269,515,775.27/22,704.71
  6. Step 6: Final answer
    x = 11,870.48

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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.