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Finding the Fourth Proportional to 13,351.43, 18,424.64 and 7,382.94

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Solution

The fourth proportional to 13,351.43, 18,424.64 and 7,382.94 is: 10,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351.43 : 18,424.64 = 7,382.94 : x
  2. Step 2: Convert to fraction form
    13,351.43/18,424.64 = 7,382.94/x
  3. Step 3: Cross multiply
    13,351.43x = 18,424.64 × 7,382.94
  4. Step 4: Simplify right side
    13,351.43x = 136,027,974.73
  5. Step 5: Solve for x
    x = 136,027,974.73/13,351.43
  6. Step 6: Final answer
    x = 10,188.27

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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.