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Finding the Fourth Proportional to 21,149, 29,182.38 and 11,717.36

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Solution

The fourth proportional to 21,149, 29,182.38 and 11,717.36 is: 16,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149 : 29,182.38 = 11,717.36 : x
  2. Step 2: Convert to fraction form
    21,149/29,182.38 = 11,717.36/x
  3. Step 3: Cross multiply
    21,149x = 29,182.38 × 11,717.36
  4. Step 4: Simplify right side
    21,149x = 341,940,452.12
  5. Step 5: Solve for x
    x = 341,940,452.12/21,149
  6. Step 6: Final answer
    x = 16,168.16

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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.