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Finding the Fourth Proportional to 22,641.72, 31,240.26 and 13,206.84

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Solution

The fourth proportional to 22,641.72, 31,240.26 and 13,206.84 is: 18,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.72 : 31,240.26 = 13,206.84 : x
  2. Step 2: Convert to fraction form
    22,641.72/31,240.26 = 13,206.84/x
  3. Step 3: Cross multiply
    22,641.72x = 31,240.26 × 13,206.84
  4. Step 4: Simplify right side
    22,641.72x = 412,585,115.38
  5. Step 5: Solve for x
    x = 412,585,115.38/22,641.72
  6. Step 6: Final answer
    x = 18,222.34

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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.