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Finding the Fourth Proportional to 18,499.10, 27,748.92 and 6,019.19

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Solution

The fourth proportional to 18,499.10, 27,748.92 and 6,019.19 is: 9,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.10 : 27,748.92 = 6,019.19 : x
  2. Step 2: Convert to fraction form
    18,499.10/27,748.92 = 6,019.19/x
  3. Step 3: Cross multiply
    18,499.10x = 27,748.92 × 6,019.19
  4. Step 4: Simplify right side
    18,499.10x = 167,025,991.68
  5. Step 5: Solve for x
    x = 167,025,991.68/18,499.10
  6. Step 6: Final answer
    x = 9,028.87

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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.