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Finding the Fourth Proportional to 21,146.76, 29,183.04 and 11,716.02

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Solution

The fourth proportional to 21,146.76, 29,183.04 and 11,716.02 is: 16,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.76 : 29,183.04 = 11,716.02 : x
  2. Step 2: Convert to fraction form
    21,146.76/29,183.04 = 11,716.02/x
  3. Step 3: Cross multiply
    21,146.76x = 29,183.04 × 11,716.02
  4. Step 4: Simplify right side
    21,146.76x = 341,909,080.30
  5. Step 5: Solve for x
    x = 341,909,080.30/21,146.76
  6. Step 6: Final answer
    x = 16,168.39

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Why These Related Problems?

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