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Finding the Fourth Proportional to 20,889.79, 31,343.89 and 8,434.11

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Solution

The fourth proportional to 20,889.79, 31,343.89 and 8,434.11 is: 12,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889.79 : 31,343.89 = 8,434.11 : x
  2. Step 2: Convert to fraction form
    20,889.79/31,343.89 = 8,434.11/x
  3. Step 3: Cross multiply
    20,889.79x = 31,343.89 × 8,434.11
  4. Step 4: Simplify right side
    20,889.79x = 264,357,816.09
  5. Step 5: Solve for x
    x = 264,357,816.09/20,889.79
  6. Step 6: Final answer
    x = 12,654.88

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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.