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Finding the Fourth Proportional to 13,187.81, 18,199.19 and 7,219.85

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Solution

The fourth proportional to 13,187.81, 18,199.19 and 7,219.85 is: 9,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.81 : 18,199.19 = 7,219.85 : x
  2. Step 2: Convert to fraction form
    13,187.81/18,199.19 = 7,219.85/x
  3. Step 3: Cross multiply
    13,187.81x = 18,199.19 × 7,219.85
  4. Step 4: Simplify right side
    13,187.81x = 131,395,348.98
  5. Step 5: Solve for x
    x = 131,395,348.98/13,187.81
  6. Step 6: Final answer
    x = 9,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.