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Finding the Fourth Proportional to 18,502.35, 27,768.11 and 6,823.77

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Solution

The fourth proportional to 18,502.35, 27,768.11 and 6,823.77 is: 10,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.35 : 27,768.11 = 6,823.77 : x
  2. Step 2: Convert to fraction form
    18,502.35/27,768.11 = 6,823.77/x
  3. Step 3: Cross multiply
    18,502.35x = 27,768.11 × 6,823.77
  4. Step 4: Simplify right side
    18,502.35x = 189,483,161.86
  5. Step 5: Solve for x
    x = 189,483,161.86/18,502.35
  6. Step 6: Final answer
    x = 10,241.03

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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.