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Finding the Fourth Proportional to 21,186, 29,236.68 and 13,734

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Solution

The fourth proportional to 21,186, 29,236.68 and 13,734 is: 18,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186 : 29,236.68 = 13,734 : x
  2. Step 2: Convert to fraction form
    21,186/29,236.68 = 13,734/x
  3. Step 3: Cross multiply
    21,186x = 29,236.68 × 13,734
  4. Step 4: Simplify right side
    21,186x = 401,536,563.12
  5. Step 5: Solve for x
    x = 401,536,563.12/21,186
  6. Step 6: Final answer
    x = 18,952.92

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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.