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Finding the Fourth Proportional to 18,452, 27,661.52 and 6,762.46

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Solution

The fourth proportional to 18,452, 27,661.52 and 6,762.46 is: 10,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,452 : 27,661.52 = 6,762.46 : x
  2. Step 2: Convert to fraction form
    18,452/27,661.52 = 6,762.46/x
  3. Step 3: Cross multiply
    18,452x = 27,661.52 × 6,762.46
  4. Step 4: Simplify right side
    18,452x = 187,059,922.54
  5. Step 5: Solve for x
    x = 187,059,922.54/18,452
  6. Step 6: Final answer
    x = 10,137.65

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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.