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Finding the Fourth Proportional to 18,271.50, 27,408.15 and 5,959.50

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Solution

The fourth proportional to 18,271.50, 27,408.15 and 5,959.50 is: 8,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.50 : 27,408.15 = 5,959.50 : x
  2. Step 2: Convert to fraction form
    18,271.50/27,408.15 = 5,959.50/x
  3. Step 3: Cross multiply
    18,271.50x = 27,408.15 × 5,959.50
  4. Step 4: Simplify right side
    18,271.50x = 163,338,869.93
  5. Step 5: Solve for x
    x = 163,338,869.93/18,271.50
  6. Step 6: Final answer
    x = 8,939.54

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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.