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Finding the Fourth Proportional to 12,493.80, 18,601.98 and 12,319.44

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Solution

The fourth proportional to 12,493.80, 18,601.98 and 12,319.44 is: 18,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.80 : 18,601.98 = 12,319.44 : x
  2. Step 2: Convert to fraction form
    12,493.80/18,601.98 = 12,319.44/x
  3. Step 3: Cross multiply
    12,493.80x = 18,601.98 × 12,319.44
  4. Step 4: Simplify right side
    12,493.80x = 229,165,976.49
  5. Step 5: Solve for x
    x = 229,165,976.49/12,493.80
  6. Step 6: Final answer
    x = 18,342.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.