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Finding the Fourth Proportional to 18,908.50, 28,375.71 and 6,596.50

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Solution

The fourth proportional to 18,908.50, 28,375.71 and 6,596.50 is: 9,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,908.50 : 28,375.71 = 6,596.50 : x
  2. Step 2: Convert to fraction form
    18,908.50/28,375.71 = 6,596.50/x
  3. Step 3: Cross multiply
    18,908.50x = 28,375.71 × 6,596.50
  4. Step 4: Simplify right side
    18,908.50x = 187,180,371.02
  5. Step 5: Solve for x
    x = 187,180,371.02/18,908.50
  6. Step 6: Final answer
    x = 9,899.27

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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.