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Finding the Fourth Proportional to 21,165, 29,207.90 and 11,733.77

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Solution

The fourth proportional to 21,165, 29,207.90 and 11,733.77 is: 16,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165 : 29,207.90 = 11,733.77 : x
  2. Step 2: Convert to fraction form
    21,165/29,207.90 = 11,733.77/x
  3. Step 3: Cross multiply
    21,165x = 29,207.90 × 11,733.77
  4. Step 4: Simplify right side
    21,165x = 342,718,664.08
  5. Step 5: Solve for x
    x = 342,718,664.08/21,165
  6. Step 6: Final answer
    x = 16,192.71

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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.