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Finding the Fourth Proportional to 22,626.38, 31,223 and 13,668.60

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Solution

The fourth proportional to 22,626.38, 31,223 and 13,668.60 is: 18,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.38 : 31,223 = 13,668.60 : x
  2. Step 2: Convert to fraction form
    22,626.38/31,223 = 13,668.60/x
  3. Step 3: Cross multiply
    22,626.38x = 31,223 × 13,668.60
  4. Step 4: Simplify right side
    22,626.38x = 426,774,697.80
  5. Step 5: Solve for x
    x = 426,774,697.80/22,626.38
  6. Step 6: Final answer
    x = 18,861.82

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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.