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Finding the Fourth Proportional to 12,420, 18,632.44 and 5,494.50

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Solution

The fourth proportional to 12,420, 18,632.44 and 5,494.50 is: 8,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420 : 18,632.44 = 5,494.50 : x
  2. Step 2: Convert to fraction form
    12,420/18,632.44 = 5,494.50/x
  3. Step 3: Cross multiply
    12,420x = 18,632.44 × 5,494.50
  4. Step 4: Simplify right side
    12,420x = 102,375,941.58
  5. Step 5: Solve for x
    x = 102,375,941.58/12,420
  6. Step 6: Final answer
    x = 8,242.83

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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.