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Finding the Fourth Proportional to 12,424, 18,620.80 and 5,841.44

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Solution

The fourth proportional to 12,424, 18,620.80 and 5,841.44 is: 8,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424 : 18,620.80 = 5,841.44 : x
  2. Step 2: Convert to fraction form
    12,424/18,620.80 = 5,841.44/x
  3. Step 3: Cross multiply
    12,424x = 18,620.80 × 5,841.44
  4. Step 4: Simplify right side
    12,424x = 108,772,285.95
  5. Step 5: Solve for x
    x = 108,772,285.95/12,424
  6. Step 6: Final answer
    x = 8,755.01

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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.