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Finding the Fourth Proportional to 18,129.92, 27,197.48 and 8,009.57

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Solution

The fourth proportional to 18,129.92, 27,197.48 and 8,009.57 is: 12,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.92 : 27,197.48 = 8,009.57 : x
  2. Step 2: Convert to fraction form
    18,129.92/27,197.48 = 8,009.57/x
  3. Step 3: Cross multiply
    18,129.92x = 27,197.48 × 8,009.57
  4. Step 4: Simplify right side
    18,129.92x = 217,840,079.84
  5. Step 5: Solve for x
    x = 217,840,079.84/18,129.92
  6. Step 6: Final answer
    x = 12,015.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.