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Finding the Fourth Proportional to 18,212, 27,311.90 and 7,115.80

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Solution

The fourth proportional to 18,212, 27,311.90 and 7,115.80 is: 10,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212 : 27,311.90 = 7,115.80 : x
  2. Step 2: Convert to fraction form
    18,212/27,311.90 = 7,115.80/x
  3. Step 3: Cross multiply
    18,212x = 27,311.90 × 7,115.80
  4. Step 4: Simplify right side
    18,212x = 194,346,018.02
  5. Step 5: Solve for x
    x = 194,346,018.02/18,212
  6. Step 6: Final answer
    x = 10,671.32

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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.