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Finding the Fourth Proportional to 22,628.38, 31,230.22 and 13,203.22

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Solution

The fourth proportional to 22,628.38, 31,230.22 and 13,203.22 is: 18,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.38 : 31,230.22 = 13,203.22 : x
  2. Step 2: Convert to fraction form
    22,628.38/31,230.22 = 13,203.22/x
  3. Step 3: Cross multiply
    22,628.38x = 31,230.22 × 13,203.22
  4. Step 4: Simplify right side
    22,628.38x = 412,339,465.31
  5. Step 5: Solve for x
    x = 412,339,465.31/22,628.38
  6. Step 6: Final answer
    x = 18,222.23

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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.