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Finding the Fourth Proportional to 22,626.38, 31,223.35 and 12,554.71

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Solution

The fourth proportional to 22,626.38, 31,223.35 and 12,554.71 is: 17,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.38 : 31,223.35 = 12,554.71 : x
  2. Step 2: Convert to fraction form
    22,626.38/31,223.35 = 12,554.71/x
  3. Step 3: Cross multiply
    22,626.38x = 31,223.35 × 12,554.71
  4. Step 4: Simplify right side
    22,626.38x = 392,000,104.48
  5. Step 5: Solve for x
    x = 392,000,104.48/22,626.38
  6. Step 6: Final answer
    x = 17,324.91

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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.