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Finding the Fourth Proportional to 21,599.31, 32,398.97 and 9,287.31

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Solution

The fourth proportional to 21,599.31, 32,398.97 and 9,287.31 is: 13,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599.31 : 32,398.97 = 9,287.31 : x
  2. Step 2: Convert to fraction form
    21,599.31/32,398.97 = 9,287.31/x
  3. Step 3: Cross multiply
    21,599.31x = 32,398.97 × 9,287.31
  4. Step 4: Simplify right side
    21,599.31x = 300,899,278.07
  5. Step 5: Solve for x
    x = 300,899,278.07/21,599.31
  6. Step 6: Final answer
    x = 13,930.97

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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.