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Finding the Fourth Proportional to 18,286.10, 27,430.20 and 5,139.50

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Solution

The fourth proportional to 18,286.10, 27,430.20 and 5,139.50 is: 7,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.10 : 27,430.20 = 5,139.50 : x
  2. Step 2: Convert to fraction form
    18,286.10/27,430.20 = 5,139.50/x
  3. Step 3: Cross multiply
    18,286.10x = 27,430.20 × 5,139.50
  4. Step 4: Simplify right side
    18,286.10x = 140,977,375.75
  5. Step 5: Solve for x
    x = 140,977,375.75/18,286.10
  6. Step 6: Final answer
    x = 7,709.54

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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.