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Finding the Fourth Proportional to 12,238.29, 18,264.87 and 11,057.31

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Solution

The fourth proportional to 12,238.29, 18,264.87 and 11,057.31 is: 16,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.29 : 18,264.87 = 11,057.31 : x
  2. Step 2: Convert to fraction form
    12,238.29/18,264.87 = 11,057.31/x
  3. Step 3: Cross multiply
    12,238.29x = 18,264.87 × 11,057.31
  4. Step 4: Simplify right side
    12,238.29x = 201,960,329.70
  5. Step 5: Solve for x
    x = 201,960,329.70/12,238.29
  6. Step 6: Final answer
    x = 16,502.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.