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Finding the Fourth Proportional to 13,702, 18,908.76 and 7,414.42

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Solution

The fourth proportional to 13,702, 18,908.76 and 7,414.42 is: 10,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702 : 18,908.76 = 7,414.42 : x
  2. Step 2: Convert to fraction form
    13,702/18,908.76 = 7,414.42/x
  3. Step 3: Cross multiply
    13,702x = 18,908.76 × 7,414.42
  4. Step 4: Simplify right side
    13,702x = 140,197,488.32
  5. Step 5: Solve for x
    x = 140,197,488.32/13,702
  6. Step 6: Final answer
    x = 10,231.90

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