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Finding the Fourth Proportional to 18,291.62, 27,454.44 and 7,205.96

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Solution

The fourth proportional to 18,291.62, 27,454.44 and 7,205.96 is: 10,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291.62 : 27,454.44 = 7,205.96 : x
  2. Step 2: Convert to fraction form
    18,291.62/27,454.44 = 7,205.96/x
  3. Step 3: Cross multiply
    18,291.62x = 27,454.44 × 7,205.96
  4. Step 4: Simplify right side
    18,291.62x = 197,835,692.12
  5. Step 5: Solve for x
    x = 197,835,692.12/18,291.62
  6. Step 6: Final answer
    x = 10,815.64

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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.