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Finding the Fourth Proportional to 18,118.50, 27,176.40 and 7,024.20

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Solution

The fourth proportional to 18,118.50, 27,176.40 and 7,024.20 is: 10,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118.50 : 27,176.40 = 7,024.20 : x
  2. Step 2: Convert to fraction form
    18,118.50/27,176.40 = 7,024.20/x
  3. Step 3: Cross multiply
    18,118.50x = 27,176.40 × 7,024.20
  4. Step 4: Simplify right side
    18,118.50x = 190,892,468.88
  5. Step 5: Solve for x
    x = 190,892,468.88/18,118.50
  6. Step 6: Final answer
    x = 10,535.78

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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.