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Finding the Fourth Proportional to 18,274.62, 27,403.29 and 8,410.98

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Solution

The fourth proportional to 18,274.62, 27,403.29 and 8,410.98 is: 12,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.62 : 27,403.29 = 8,410.98 : x
  2. Step 2: Convert to fraction form
    18,274.62/27,403.29 = 8,410.98/x
  3. Step 3: Cross multiply
    18,274.62x = 27,403.29 × 8,410.98
  4. Step 4: Simplify right side
    18,274.62x = 230,488,524.12
  5. Step 5: Solve for x
    x = 230,488,524.12/18,274.62
  6. Step 6: Final answer
    x = 12,612.49

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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.