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Finding the Fourth Proportional to 19,732.50, 27,231.66 and 11,349

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Solution

The fourth proportional to 19,732.50, 27,231.66 and 11,349 is: 15,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.50 : 27,231.66 = 11,349 : x
  2. Step 2: Convert to fraction form
    19,732.50/27,231.66 = 11,349/x
  3. Step 3: Cross multiply
    19,732.50x = 27,231.66 × 11,349
  4. Step 4: Simplify right side
    19,732.50x = 309,052,109.34
  5. Step 5: Solve for x
    x = 309,052,109.34/19,732.50
  6. Step 6: Final answer
    x = 15,662.09

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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.