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Finding the Fourth Proportional to 12,025.83, 18,042.39 and 8,522.61

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Solution

The fourth proportional to 12,025.83, 18,042.39 and 8,522.61 is: 12,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.83 : 18,042.39 = 8,522.61 : x
  2. Step 2: Convert to fraction form
    12,025.83/18,042.39 = 8,522.61/x
  3. Step 3: Cross multiply
    12,025.83x = 18,042.39 × 8,522.61
  4. Step 4: Simplify right side
    12,025.83x = 153,768,253.44
  5. Step 5: Solve for x
    x = 153,768,253.44/12,025.83
  6. Step 6: Final answer
    x = 12,786.50

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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.