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Finding the Fourth Proportional to 22,286.31, 33,434.64 and 6,491.72

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Solution

The fourth proportional to 22,286.31, 33,434.64 and 6,491.72 is: 9,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.31 : 33,434.64 = 6,491.72 : x
  2. Step 2: Convert to fraction form
    22,286.31/33,434.64 = 6,491.72/x
  3. Step 3: Cross multiply
    22,286.31x = 33,434.64 × 6,491.72
  4. Step 4: Simplify right side
    22,286.31x = 217,048,154.01
  5. Step 5: Solve for x
    x = 217,048,154.01/22,286.31
  6. Step 6: Final answer
    x = 9,739.08

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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.