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Finding the Fourth Proportional to 23,844.57, 35,773.23 and 8,262.20

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Solution

The fourth proportional to 23,844.57, 35,773.23 and 8,262.20 is: 12,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.57 : 35,773.23 = 8,262.20 : x
  2. Step 2: Convert to fraction form
    23,844.57/35,773.23 = 8,262.20/x
  3. Step 3: Cross multiply
    23,844.57x = 35,773.23 × 8,262.20
  4. Step 4: Simplify right side
    23,844.57x = 295,565,402.04
  5. Step 5: Solve for x
    x = 295,565,402.04/23,844.57
  6. Step 6: Final answer
    x = 12,395.50

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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.