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Finding the Fourth Proportional to 20,267, 30,375.54 and 14,391.80

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Solution

The fourth proportional to 20,267, 30,375.54 and 14,391.80 is: 21,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267 : 30,375.54 = 14,391.80 : x
  2. Step 2: Convert to fraction form
    20,267/30,375.54 = 14,391.80/x
  3. Step 3: Cross multiply
    20,267x = 30,375.54 × 14,391.80
  4. Step 4: Simplify right side
    20,267x = 437,158,696.57
  5. Step 5: Solve for x
    x = 437,158,696.57/20,267
  6. Step 6: Final answer
    x = 21,569.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.