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Finding the Fourth Proportional to 13,187.74, 18,198.38 and 7,520.98

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Solution

The fourth proportional to 13,187.74, 18,198.38 and 7,520.98 is: 10,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.74 : 18,198.38 = 7,520.98 : x
  2. Step 2: Convert to fraction form
    13,187.74/18,198.38 = 7,520.98/x
  3. Step 3: Cross multiply
    13,187.74x = 18,198.38 × 7,520.98
  4. Step 4: Simplify right side
    13,187.74x = 136,869,652.01
  5. Step 5: Solve for x
    x = 136,869,652.01/13,187.74
  6. Step 6: Final answer
    x = 10,378.55

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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.