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Finding the Fourth Proportional to 21,137.36, 29,189.16 and 15,822.95

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Solution

The fourth proportional to 21,137.36, 29,189.16 and 15,822.95 is: 21,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.36 : 29,189.16 = 15,822.95 : x
  2. Step 2: Convert to fraction form
    21,137.36/29,189.16 = 15,822.95/x
  3. Step 3: Cross multiply
    21,137.36x = 29,189.16 × 15,822.95
  4. Step 4: Simplify right side
    21,137.36x = 461,858,473.28
  5. Step 5: Solve for x
    x = 461,858,473.28/21,137.36
  6. Step 6: Final answer
    x = 21,850.34

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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.