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Finding the Fourth Proportional to 20,166.92, 27,830.61 and 11,215.20

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Solution

The fourth proportional to 20,166.92, 27,830.61 and 11,215.20 is: 15,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.92 : 27,830.61 = 11,215.20 : x
  2. Step 2: Convert to fraction form
    20,166.92/27,830.61 = 11,215.20/x
  3. Step 3: Cross multiply
    20,166.92x = 27,830.61 × 11,215.20
  4. Step 4: Simplify right side
    20,166.92x = 312,125,857.27
  5. Step 5: Solve for x
    x = 312,125,857.27/20,166.92
  6. Step 6: Final answer
    x = 15,477.12

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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.