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Finding the Fourth Proportional to 18,012.96, 24,889.68 and 13,857.12

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Solution

The fourth proportional to 18,012.96, 24,889.68 and 13,857.12 is: 19,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012.96 : 24,889.68 = 13,857.12 : x
  2. Step 2: Convert to fraction form
    18,012.96/24,889.68 = 13,857.12/x
  3. Step 3: Cross multiply
    18,012.96x = 24,889.68 × 13,857.12
  4. Step 4: Simplify right side
    18,012.96x = 344,899,282.52
  5. Step 5: Solve for x
    x = 344,899,282.52/18,012.96
  6. Step 6: Final answer
    x = 19,147.29

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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.