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Finding the Fourth Proportional to 21,396.92, 29,530.50 and 11,966

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Solution

The fourth proportional to 21,396.92, 29,530.50 and 11,966 is: 16,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,396.92 : 29,530.50 = 11,966 : x
  2. Step 2: Convert to fraction form
    21,396.92/29,530.50 = 11,966/x
  3. Step 3: Cross multiply
    21,396.92x = 29,530.50 × 11,966
  4. Step 4: Simplify right side
    21,396.92x = 353,361,963
  5. Step 5: Solve for x
    x = 353,361,963/21,396.92
  6. Step 6: Final answer
    x = 16,514.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.