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Finding the Fourth Proportional to 21,546.38, 32,321.45 and 5,964.14

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Solution

The fourth proportional to 21,546.38, 32,321.45 and 5,964.14 is: 8,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.38 : 32,321.45 = 5,964.14 : x
  2. Step 2: Convert to fraction form
    21,546.38/32,321.45 = 5,964.14/x
  3. Step 3: Cross multiply
    21,546.38x = 32,321.45 × 5,964.14
  4. Step 4: Simplify right side
    21,546.38x = 192,769,506.11
  5. Step 5: Solve for x
    x = 192,769,506.11/21,546.38
  6. Step 6: Final answer
    x = 8,946.73

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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.