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Finding the Fourth Proportional to 19,644.28, 29,471.82 and 9,105.64

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Solution

The fourth proportional to 19,644.28, 29,471.82 and 9,105.64 is: 13,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.28 : 29,471.82 = 9,105.64 : x
  2. Step 2: Convert to fraction form
    19,644.28/29,471.82 = 9,105.64/x
  3. Step 3: Cross multiply
    19,644.28x = 29,471.82 × 9,105.64
  4. Step 4: Simplify right side
    19,644.28x = 268,359,783.06
  5. Step 5: Solve for x
    x = 268,359,783.06/19,644.28
  6. Step 6: Final answer
    x = 13,660.96

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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.