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Finding the Fourth Proportional to 18,406.28, 27,609.50 and 7,874.76

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Solution

The fourth proportional to 18,406.28, 27,609.50 and 7,874.76 is: 11,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.28 : 27,609.50 = 7,874.76 : x
  2. Step 2: Convert to fraction form
    18,406.28/27,609.50 = 7,874.76/x
  3. Step 3: Cross multiply
    18,406.28x = 27,609.50 × 7,874.76
  4. Step 4: Simplify right side
    18,406.28x = 217,418,186.22
  5. Step 5: Solve for x
    x = 217,418,186.22/18,406.28
  6. Step 6: Final answer
    x = 11,812.17

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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.