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Finding the Fourth Proportional to 13,722.49, 18,942.30 and 8,424.52

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Solution

The fourth proportional to 13,722.49, 18,942.30 and 8,424.52 is: 11,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.49 : 18,942.30 = 8,424.52 : x
  2. Step 2: Convert to fraction form
    13,722.49/18,942.30 = 8,424.52/x
  3. Step 3: Cross multiply
    13,722.49x = 18,942.30 × 8,424.52
  4. Step 4: Simplify right side
    13,722.49x = 159,579,785.20
  5. Step 5: Solve for x
    x = 159,579,785.20/13,722.49
  6. Step 6: Final answer
    x = 11,629.07

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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.