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Finding the Fourth Proportional to 21,724.29, 32,593.73 and 6,935.31

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Solution

The fourth proportional to 21,724.29, 32,593.73 and 6,935.31 is: 10,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.29 : 32,593.73 = 6,935.31 : x
  2. Step 2: Convert to fraction form
    21,724.29/32,593.73 = 6,935.31/x
  3. Step 3: Cross multiply
    21,724.29x = 32,593.73 × 6,935.31
  4. Step 4: Simplify right side
    21,724.29x = 226,047,586.93
  5. Step 5: Solve for x
    x = 226,047,586.93/21,724.29
  6. Step 6: Final answer
    x = 10,405.29

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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.