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Finding the Fourth Proportional to 21,101.26, 29,116.32 and 11,668

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Solution

The fourth proportional to 21,101.26, 29,116.32 and 11,668 is: 16,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.26 : 29,116.32 = 11,668 : x
  2. Step 2: Convert to fraction form
    21,101.26/29,116.32 = 11,668/x
  3. Step 3: Cross multiply
    21,101.26x = 29,116.32 × 11,668
  4. Step 4: Simplify right side
    21,101.26x = 339,729,221.76
  5. Step 5: Solve for x
    x = 339,729,221.76/21,101.26
  6. Step 6: Final answer
    x = 16,099.95

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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.