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Finding the Fourth Proportional to 21,716.68, 29,966.49 and 12,157.09

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Solution

The fourth proportional to 21,716.68, 29,966.49 and 12,157.09 is: 16,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.68 : 29,966.49 = 12,157.09 : x
  2. Step 2: Convert to fraction form
    21,716.68/29,966.49 = 12,157.09/x
  3. Step 3: Cross multiply
    21,716.68x = 29,966.49 × 12,157.09
  4. Step 4: Simplify right side
    21,716.68x = 364,305,315.91
  5. Step 5: Solve for x
    x = 364,305,315.91/21,716.68
  6. Step 6: Final answer
    x = 16,775.37

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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.