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Finding the Fourth Proportional to 27,672.21, 38,190.90 and 15,737.34

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Solution

The fourth proportional to 27,672.21, 38,190.90 and 15,737.34 is: 21,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.21 : 38,190.90 = 15,737.34 : x
  2. Step 2: Convert to fraction form
    27,672.21/38,190.90 = 15,737.34/x
  3. Step 3: Cross multiply
    27,672.21x = 38,190.90 × 15,737.34
  4. Step 4: Simplify right side
    27,672.21x = 601,023,178.21
  5. Step 5: Solve for x
    x = 601,023,178.21/27,672.21
  6. Step 6: Final answer
    x = 21,719.38

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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.