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Finding the Fourth Proportional to 18,864.32, 28,286.76 and 7,768.92

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Solution

The fourth proportional to 18,864.32, 28,286.76 and 7,768.92 is: 11,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864.32 : 28,286.76 = 7,768.92 : x
  2. Step 2: Convert to fraction form
    18,864.32/28,286.76 = 7,768.92/x
  3. Step 3: Cross multiply
    18,864.32x = 28,286.76 × 7,768.92
  4. Step 4: Simplify right side
    18,864.32x = 219,757,575.50
  5. Step 5: Solve for x
    x = 219,757,575.50/18,864.32
  6. Step 6: Final answer
    x = 11,649.38

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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.