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Finding the Fourth Proportional to 12,131.58, 18,197.27 and 3,366.50

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Solution

The fourth proportional to 12,131.58, 18,197.27 and 3,366.50 is: 5,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.58 : 18,197.27 = 3,366.50 : x
  2. Step 2: Convert to fraction form
    12,131.58/18,197.27 = 3,366.50/x
  3. Step 3: Cross multiply
    12,131.58x = 18,197.27 × 3,366.50
  4. Step 4: Simplify right side
    12,131.58x = 61,261,109.46
  5. Step 5: Solve for x
    x = 61,261,109.46/12,131.58
  6. Step 6: Final answer
    x = 5,049.72

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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.