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Finding the Fourth Proportional to 12,594.78, 18,891.81 and 3,234.42

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Solution

The fourth proportional to 12,594.78, 18,891.81 and 3,234.42 is: 4,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.78 : 18,891.81 = 3,234.42 : x
  2. Step 2: Convert to fraction form
    12,594.78/18,891.81 = 3,234.42/x
  3. Step 3: Cross multiply
    12,594.78x = 18,891.81 × 3,234.42
  4. Step 4: Simplify right side
    12,594.78x = 61,104,048.10
  5. Step 5: Solve for x
    x = 61,104,048.10/12,594.78
  6. Step 6: Final answer
    x = 4,851.54

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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.