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Finding the Fourth Proportional to 21,628.64, 29,850.18 and 12,197

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Solution

The fourth proportional to 21,628.64, 29,850.18 and 12,197 is: 16,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628.64 : 29,850.18 = 12,197 : x
  2. Step 2: Convert to fraction form
    21,628.64/29,850.18 = 12,197/x
  3. Step 3: Cross multiply
    21,628.64x = 29,850.18 × 12,197
  4. Step 4: Simplify right side
    21,628.64x = 364,082,645.46
  5. Step 5: Solve for x
    x = 364,082,645.46/21,628.64
  6. Step 6: Final answer
    x = 16,833.36

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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.