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Finding the Fourth Proportional to 20,086.38, 27,707.65 and 12,529.08

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Solution

The fourth proportional to 20,086.38, 27,707.65 and 12,529.08 is: 17,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.38 : 27,707.65 = 12,529.08 : x
  2. Step 2: Convert to fraction form
    20,086.38/27,707.65 = 12,529.08/x
  3. Step 3: Cross multiply
    20,086.38x = 27,707.65 × 12,529.08
  4. Step 4: Simplify right side
    20,086.38x = 347,151,363.46
  5. Step 5: Solve for x
    x = 347,151,363.46/20,086.38
  6. Step 6: Final answer
    x = 17,282.92

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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.