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Finding the Fourth Proportional to 21,665.36, 32,493.24 and 6,082.64

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Solution

The fourth proportional to 21,665.36, 32,493.24 and 6,082.64 is: 9,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.36 : 32,493.24 = 6,082.64 : x
  2. Step 2: Convert to fraction form
    21,665.36/32,493.24 = 6,082.64/x
  3. Step 3: Cross multiply
    21,665.36x = 32,493.24 × 6,082.64
  4. Step 4: Simplify right side
    21,665.36x = 197,644,681.35
  5. Step 5: Solve for x
    x = 197,644,681.35/21,665.36
  6. Step 6: Final answer
    x = 9,122.61

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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.