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Finding the Fourth Proportional to 18,349.82, 27,478 and 12,090.86

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Solution

The fourth proportional to 18,349.82, 27,478 and 12,090.86 is: 18,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349.82 : 27,478 = 12,090.86 : x
  2. Step 2: Convert to fraction form
    18,349.82/27,478 = 12,090.86/x
  3. Step 3: Cross multiply
    18,349.82x = 27,478 × 12,090.86
  4. Step 4: Simplify right side
    18,349.82x = 332,232,651.08
  5. Step 5: Solve for x
    x = 332,232,651.08/18,349.82
  6. Step 6: Final answer
    x = 18,105.50

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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.