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Finding the Fourth Proportional to 18,540.78, 27,814.80 and 8,152.50

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Solution

The fourth proportional to 18,540.78, 27,814.80 and 8,152.50 is: 12,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.78 : 27,814.80 = 8,152.50 : x
  2. Step 2: Convert to fraction form
    18,540.78/27,814.80 = 8,152.50/x
  3. Step 3: Cross multiply
    18,540.78x = 27,814.80 × 8,152.50
  4. Step 4: Simplify right side
    18,540.78x = 226,760,157
  5. Step 5: Solve for x
    x = 226,760,157/18,540.78
  6. Step 6: Final answer
    x = 12,230.35

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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.