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Finding the Fourth Proportional to 22,975.78, 31,709.52 and 14,021.38

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Solution

The fourth proportional to 22,975.78, 31,709.52 and 14,021.38 is: 19,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.78 : 31,709.52 = 14,021.38 : x
  2. Step 2: Convert to fraction form
    22,975.78/31,709.52 = 14,021.38/x
  3. Step 3: Cross multiply
    22,975.78x = 31,709.52 × 14,021.38
  4. Step 4: Simplify right side
    22,975.78x = 444,611,229.54
  5. Step 5: Solve for x
    x = 444,611,229.54/22,975.78
  6. Step 6: Final answer
    x = 19,351.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.