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Finding the Fourth Proportional to 21,715.68, 29,965.11 and 12,156.09

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Solution

The fourth proportional to 21,715.68, 29,965.11 and 12,156.09 is: 16,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.68 : 29,965.11 = 12,156.09 : x
  2. Step 2: Convert to fraction form
    21,715.68/29,965.11 = 12,156.09/x
  3. Step 3: Cross multiply
    21,715.68x = 29,965.11 × 12,156.09
  4. Step 4: Simplify right side
    21,715.68x = 364,258,584.62
  5. Step 5: Solve for x
    x = 364,258,584.62/21,715.68
  6. Step 6: Final answer
    x = 16,773.99

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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.