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Finding the Fourth Proportional to 38,247, 57,372.66 and 13,623

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Solution

The fourth proportional to 38,247, 57,372.66 and 13,623 is: 20,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247 : 57,372.66 = 13,623 : x
  2. Step 2: Convert to fraction form
    38,247/57,372.66 = 13,623/x
  3. Step 3: Cross multiply
    38,247x = 57,372.66 × 13,623
  4. Step 4: Simplify right side
    38,247x = 781,587,747.18
  5. Step 5: Solve for x
    x = 781,587,747.18/38,247
  6. Step 6: Final answer
    x = 20,435.27

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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.