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Finding the Fourth Proportional to 20,215.20, 27,894.60 and 11,715.60

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Solution

The fourth proportional to 20,215.20, 27,894.60 and 11,715.60 is: 16,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.20 : 27,894.60 = 11,715.60 : x
  2. Step 2: Convert to fraction form
    20,215.20/27,894.60 = 11,715.60/x
  3. Step 3: Cross multiply
    20,215.20x = 27,894.60 × 11,715.60
  4. Step 4: Simplify right side
    20,215.20x = 326,801,975.76
  5. Step 5: Solve for x
    x = 326,801,975.76/20,215.20
  6. Step 6: Final answer
    x = 16,166.15

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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.