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Finding the Fourth Proportional to 23,752.44, 35,632.98 and 8,166.24

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Solution

The fourth proportional to 23,752.44, 35,632.98 and 8,166.24 is: 12,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.44 : 35,632.98 = 8,166.24 : x
  2. Step 2: Convert to fraction form
    23,752.44/35,632.98 = 8,166.24/x
  3. Step 3: Cross multiply
    23,752.44x = 35,632.98 × 8,166.24
  4. Step 4: Simplify right side
    23,752.44x = 290,987,466.60
  5. Step 5: Solve for x
    x = 290,987,466.60/23,752.44
  6. Step 6: Final answer
    x = 12,250.85

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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.