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Finding the Fourth Proportional to 12,434.82, 18,652.26 and 10,238.94

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Solution

The fourth proportional to 12,434.82, 18,652.26 and 10,238.94 is: 15,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.82 : 18,652.26 = 10,238.94 : x
  2. Step 2: Convert to fraction form
    12,434.82/18,652.26 = 10,238.94/x
  3. Step 3: Cross multiply
    12,434.82x = 18,652.26 × 10,238.94
  4. Step 4: Simplify right side
    12,434.82x = 190,979,226.55
  5. Step 5: Solve for x
    x = 190,979,226.55/12,434.82
  6. Step 6: Final answer
    x = 15,358.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.