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Finding the Fourth Proportional to 18,516.32, 27,778.32 and 6,204

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Solution

The fourth proportional to 18,516.32, 27,778.32 and 6,204 is: 9,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,516.32 : 27,778.32 = 6,204 : x
  2. Step 2: Convert to fraction form
    18,516.32/27,778.32 = 6,204/x
  3. Step 3: Cross multiply
    18,516.32x = 27,778.32 × 6,204
  4. Step 4: Simplify right side
    18,516.32x = 172,336,697.28
  5. Step 5: Solve for x
    x = 172,336,697.28/18,516.32
  6. Step 6: Final answer
    x = 9,307.29

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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.