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Finding the Fourth Proportional to 24,433.31, 36,652.03 and 7,795.71

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Solution

The fourth proportional to 24,433.31, 36,652.03 and 7,795.71 is: 11,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.31 : 36,652.03 = 7,795.71 : x
  2. Step 2: Convert to fraction form
    24,433.31/36,652.03 = 7,795.71/x
  3. Step 3: Cross multiply
    24,433.31x = 36,652.03 × 7,795.71
  4. Step 4: Simplify right side
    24,433.31x = 285,728,577.30
  5. Step 5: Solve for x
    x = 285,728,577.30/24,433.31
  6. Step 6: Final answer
    x = 11,694.22

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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.