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Finding the Fourth Proportional to 20,102.17, 27,736.77 and 12,142.84

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Solution

The fourth proportional to 20,102.17, 27,736.77 and 12,142.84 is: 16,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.17 : 27,736.77 = 12,142.84 : x
  2. Step 2: Convert to fraction form
    20,102.17/27,736.77 = 12,142.84/x
  3. Step 3: Cross multiply
    20,102.17x = 27,736.77 × 12,142.84
  4. Step 4: Simplify right side
    20,102.17x = 336,803,160.23
  5. Step 5: Solve for x
    x = 336,803,160.23/20,102.17
  6. Step 6: Final answer
    x = 16,754.57

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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.