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Finding the Fourth Proportional to 20,212.89, 27,894.07 and 11,715.64

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Solution

The fourth proportional to 20,212.89, 27,894.07 and 11,715.64 is: 16,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.89 : 27,894.07 = 11,715.64 : x
  2. Step 2: Convert to fraction form
    20,212.89/27,894.07 = 11,715.64/x
  3. Step 3: Cross multiply
    20,212.89x = 27,894.07 × 11,715.64
  4. Step 4: Simplify right side
    20,212.89x = 326,796,827.16
  5. Step 5: Solve for x
    x = 326,796,827.16/20,212.89
  6. Step 6: Final answer
    x = 16,167.74

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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.