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Finding the Fourth Proportional to 21,474.38, 32,222.56 and 9,786.08

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Solution

The fourth proportional to 21,474.38, 32,222.56 and 9,786.08 is: 14,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.38 : 32,222.56 = 9,786.08 : x
  2. Step 2: Convert to fraction form
    21,474.38/32,222.56 = 9,786.08/x
  3. Step 3: Cross multiply
    21,474.38x = 32,222.56 × 9,786.08
  4. Step 4: Simplify right side
    21,474.38x = 315,332,549.96
  5. Step 5: Solve for x
    x = 315,332,549.96/21,474.38
  6. Step 6: Final answer
    x = 14,684.13

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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.