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Finding the Fourth Proportional to 18,857.41, 28,286.28 and 6,377.50

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Solution

The fourth proportional to 18,857.41, 28,286.28 and 6,377.50 is: 9,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,857.41 : 28,286.28 = 6,377.50 : x
  2. Step 2: Convert to fraction form
    18,857.41/28,286.28 = 6,377.50/x
  3. Step 3: Cross multiply
    18,857.41x = 28,286.28 × 6,377.50
  4. Step 4: Simplify right side
    18,857.41x = 180,395,680.18
  5. Step 5: Solve for x
    x = 180,395,680.18/18,857.41
  6. Step 6: Final answer
    x = 9,566.30

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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.