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Finding the Fourth Proportional to 21,324.68, 31,986.10 and 7,285.96

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Solution

The fourth proportional to 21,324.68, 31,986.10 and 7,285.96 is: 10,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.68 : 31,986.10 = 7,285.96 : x
  2. Step 2: Convert to fraction form
    21,324.68/31,986.10 = 7,285.96/x
  3. Step 3: Cross multiply
    21,324.68x = 31,986.10 × 7,285.96
  4. Step 4: Simplify right side
    21,324.68x = 233,049,426.94
  5. Step 5: Solve for x
    x = 233,049,426.94/21,324.68
  6. Step 6: Final answer
    x = 10,928.62

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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.