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Finding the Fourth Proportional to 18,568.84, 27,846.28 and 7,471.76

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Solution

The fourth proportional to 18,568.84, 27,846.28 and 7,471.76 is: 11,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.84 : 27,846.28 = 7,471.76 : x
  2. Step 2: Convert to fraction form
    18,568.84/27,846.28 = 7,471.76/x
  3. Step 3: Cross multiply
    18,568.84x = 27,846.28 × 7,471.76
  4. Step 4: Simplify right side
    18,568.84x = 208,060,721.05
  5. Step 5: Solve for x
    x = 208,060,721.05/18,568.84
  6. Step 6: Final answer
    x = 11,204.83

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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.