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Finding the Fourth Proportional to 12,170.66, 18,255.52 and 3,851.54

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Solution

The fourth proportional to 12,170.66, 18,255.52 and 3,851.54 is: 5,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.66 : 18,255.52 = 3,851.54 : x
  2. Step 2: Convert to fraction form
    12,170.66/18,255.52 = 3,851.54/x
  3. Step 3: Cross multiply
    12,170.66x = 18,255.52 × 3,851.54
  4. Step 4: Simplify right side
    12,170.66x = 70,311,865.50
  5. Step 5: Solve for x
    x = 70,311,865.50/12,170.66
  6. Step 6: Final answer
    x = 5,777.16

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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.