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Finding the Fourth Proportional to 12,280.62, 18,424.18 and 4,489.50

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Solution

The fourth proportional to 12,280.62, 18,424.18 and 4,489.50 is: 6,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.62 : 18,424.18 = 4,489.50 : x
  2. Step 2: Convert to fraction form
    12,280.62/18,424.18 = 4,489.50/x
  3. Step 3: Cross multiply
    12,280.62x = 18,424.18 × 4,489.50
  4. Step 4: Simplify right side
    12,280.62x = 82,715,356.11
  5. Step 5: Solve for x
    x = 82,715,356.11/12,280.62
  6. Step 6: Final answer
    x = 6,735.44

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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.