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Finding the Fourth Proportional to 38,399, 57,601.80 and 10,697

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Solution

The fourth proportional to 38,399, 57,601.80 and 10,697 is: 16,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,399 : 57,601.80 = 10,697 : x
  2. Step 2: Convert to fraction form
    38,399/57,601.80 = 10,697/x
  3. Step 3: Cross multiply
    38,399x = 57,601.80 × 10,697
  4. Step 4: Simplify right side
    38,399x = 616,166,454.60
  5. Step 5: Solve for x
    x = 616,166,454.60/38,399
  6. Step 6: Final answer
    x = 16,046.42

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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.