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Finding the Fourth Proportional to 21,634.56, 29,855.84 and 12,682.24

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Solution

The fourth proportional to 21,634.56, 29,855.84 and 12,682.24 is: 17,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.56 : 29,855.84 = 12,682.24 : x
  2. Step 2: Convert to fraction form
    21,634.56/29,855.84 = 12,682.24/x
  3. Step 3: Cross multiply
    21,634.56x = 29,855.84 × 12,682.24
  4. Step 4: Simplify right side
    21,634.56x = 378,638,928.28
  5. Step 5: Solve for x
    x = 378,638,928.28/21,634.56
  6. Step 6: Final answer
    x = 17,501.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.