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Finding the Fourth Proportional to 14,558, 20,092.38 and 8,274.20

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Solution

The fourth proportional to 14,558, 20,092.38 and 8,274.20 is: 11,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558 : 20,092.38 = 8,274.20 : x
  2. Step 2: Convert to fraction form
    14,558/20,092.38 = 8,274.20/x
  3. Step 3: Cross multiply
    14,558x = 20,092.38 × 8,274.20
  4. Step 4: Simplify right side
    14,558x = 166,248,370.60
  5. Step 5: Solve for x
    x = 166,248,370.60/14,558
  6. Step 6: Final answer
    x = 11,419.73

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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.