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Finding the Fourth Proportional to 13,081.36, 18,050.96 and 7,414.98

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Solution

The fourth proportional to 13,081.36, 18,050.96 and 7,414.98 is: 10,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.36 : 18,050.96 = 7,414.98 : x
  2. Step 2: Convert to fraction form
    13,081.36/18,050.96 = 7,414.98/x
  3. Step 3: Cross multiply
    13,081.36x = 18,050.96 × 7,414.98
  4. Step 4: Simplify right side
    13,081.36x = 133,847,507.38
  5. Step 5: Solve for x
    x = 133,847,507.38/13,081.36
  6. Step 6: Final answer
    x = 10,231.93

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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.