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Finding the Fourth Proportional to 15,939.31, 21,997.98 and 9,224.83

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Solution

The fourth proportional to 15,939.31, 21,997.98 and 9,224.83 is: 12,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,939.31 : 21,997.98 = 9,224.83 : x
  2. Step 2: Convert to fraction form
    15,939.31/21,997.98 = 9,224.83/x
  3. Step 3: Cross multiply
    15,939.31x = 21,997.98 × 9,224.83
  4. Step 4: Simplify right side
    15,939.31x = 202,927,625.84
  5. Step 5: Solve for x
    x = 202,927,625.84/15,939.31
  6. Step 6: Final answer
    x = 12,731.27

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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.