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Finding the Fourth Proportional to 24,181.65, 36,268.29 and 6,647.31

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Solution

The fourth proportional to 24,181.65, 36,268.29 and 6,647.31 is: 9,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.65 : 36,268.29 = 6,647.31 : x
  2. Step 2: Convert to fraction form
    24,181.65/36,268.29 = 6,647.31/x
  3. Step 3: Cross multiply
    24,181.65x = 36,268.29 × 6,647.31
  4. Step 4: Simplify right side
    24,181.65x = 241,086,566.80
  5. Step 5: Solve for x
    x = 241,086,566.80/24,181.65
  6. Step 6: Final answer
    x = 9,969.81

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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.