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Finding the Fourth Proportional to 20,086.17, 27,724.64 and 12,128.93

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Solution

The fourth proportional to 20,086.17, 27,724.64 and 12,128.93 is: 16,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.17 : 27,724.64 = 12,128.93 : x
  2. Step 2: Convert to fraction form
    20,086.17/27,724.64 = 12,128.93/x
  3. Step 3: Cross multiply
    20,086.17x = 27,724.64 × 12,128.93
  4. Step 4: Simplify right side
    20,086.17x = 336,270,217.84
  5. Step 5: Solve for x
    x = 336,270,217.84/20,086.17
  6. Step 6: Final answer
    x = 16,741.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.