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Finding the Fourth Proportional to 20,117.93, 27,761.20 and 11,616.17

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Solution

The fourth proportional to 20,117.93, 27,761.20 and 11,616.17 is: 16,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.93 : 27,761.20 = 11,616.17 : x
  2. Step 2: Convert to fraction form
    20,117.93/27,761.20 = 11,616.17/x
  3. Step 3: Cross multiply
    20,117.93x = 27,761.20 × 11,616.17
  4. Step 4: Simplify right side
    20,117.93x = 322,478,650.76
  5. Step 5: Solve for x
    x = 322,478,650.76/20,117.93
  6. Step 6: Final answer
    x = 16,029.42

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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.