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Finding the Fourth Proportional to 19,889.30, 29,832.38 and 11,564

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Solution

The fourth proportional to 19,889.30, 29,832.38 and 11,564 is: 17,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.30 : 29,832.38 = 11,564 : x
  2. Step 2: Convert to fraction form
    19,889.30/29,832.38 = 11,564/x
  3. Step 3: Cross multiply
    19,889.30x = 29,832.38 × 11,564
  4. Step 4: Simplify right side
    19,889.30x = 344,981,642.32
  5. Step 5: Solve for x
    x = 344,981,642.32/19,889.30
  6. Step 6: Final answer
    x = 17,345.09

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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.