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Finding the Fourth Proportional to 21,097.44, 29,115.38 and 11,666

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Solution

The fourth proportional to 21,097.44, 29,115.38 and 11,666 is: 16,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.44 : 29,115.38 = 11,666 : x
  2. Step 2: Convert to fraction form
    21,097.44/29,115.38 = 11,666/x
  3. Step 3: Cross multiply
    21,097.44x = 29,115.38 × 11,666
  4. Step 4: Simplify right side
    21,097.44x = 339,660,023.08
  5. Step 5: Solve for x
    x = 339,660,023.08/21,097.44
  6. Step 6: Final answer
    x = 16,099.58

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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.