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Finding the Fourth Proportional to 18,477, 27,719.15 and 9,448.34

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Solution

The fourth proportional to 18,477, 27,719.15 and 9,448.34 is: 14,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477 : 27,719.15 = 9,448.34 : x
  2. Step 2: Convert to fraction form
    18,477/27,719.15 = 9,448.34/x
  3. Step 3: Cross multiply
    18,477x = 27,719.15 × 9,448.34
  4. Step 4: Simplify right side
    18,477x = 261,899,767.87
  5. Step 5: Solve for x
    x = 261,899,767.87/18,477
  6. Step 6: Final answer
    x = 14,174.37

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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.