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Finding the Fourth Proportional to 21,082.88, 29,094.32 and 11,651.38

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Solution

The fourth proportional to 21,082.88, 29,094.32 and 11,651.38 is: 16,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.88 : 29,094.32 = 11,651.38 : x
  2. Step 2: Convert to fraction form
    21,082.88/29,094.32 = 11,651.38/x
  3. Step 3: Cross multiply
    21,082.88x = 29,094.32 × 11,651.38
  4. Step 4: Simplify right side
    21,082.88x = 338,988,978.16
  5. Step 5: Solve for x
    x = 338,988,978.16/21,082.88
  6. Step 6: Final answer
    x = 16,078.87

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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.