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Finding the Fourth Proportional to 18,064.05, 27,103.74 and 9,734.39

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Solution

The fourth proportional to 18,064.05, 27,103.74 and 9,734.39 is: 14,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,064.05 : 27,103.74 = 9,734.39 : x
  2. Step 2: Convert to fraction form
    18,064.05/27,103.74 = 9,734.39/x
  3. Step 3: Cross multiply
    18,064.05x = 27,103.74 × 9,734.39
  4. Step 4: Simplify right side
    18,064.05x = 263,838,375.62
  5. Step 5: Solve for x
    x = 263,838,375.62/18,064.05
  6. Step 6: Final answer
    x = 14,605.72

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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.