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Finding the Fourth Proportional to 18,299.52, 27,434.28 and 11,724

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Solution

The fourth proportional to 18,299.52, 27,434.28 and 11,724 is: 17,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,299.52 : 27,434.28 = 11,724 : x
  2. Step 2: Convert to fraction form
    18,299.52/27,434.28 = 11,724/x
  3. Step 3: Cross multiply
    18,299.52x = 27,434.28 × 11,724
  4. Step 4: Simplify right side
    18,299.52x = 321,639,498.72
  5. Step 5: Solve for x
    x = 321,639,498.72/18,299.52
  6. Step 6: Final answer
    x = 17,576.39

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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.