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Finding the Fourth Proportional to 18,115.83, 27,170.06 and 4,967.19

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Solution

The fourth proportional to 18,115.83, 27,170.06 and 4,967.19 is: 7,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,115.83 : 27,170.06 = 4,967.19 : x
  2. Step 2: Convert to fraction form
    18,115.83/27,170.06 = 4,967.19/x
  3. Step 3: Cross multiply
    18,115.83x = 27,170.06 × 4,967.19
  4. Step 4: Simplify right side
    18,115.83x = 134,958,825.50
  5. Step 5: Solve for x
    x = 134,958,825.50/18,115.83
  6. Step 6: Final answer
    x = 7,449.77

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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.