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Finding the Fourth Proportional to 24,181.65, 36,268.29 and 6,412.44

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Solution

The fourth proportional to 24,181.65, 36,268.29 and 6,412.44 is: 9,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.65 : 36,268.29 = 6,412.44 : x
  2. Step 2: Convert to fraction form
    24,181.65/36,268.29 = 6,412.44/x
  3. Step 3: Cross multiply
    24,181.65x = 36,268.29 × 6,412.44
  4. Step 4: Simplify right side
    24,181.65x = 232,568,233.53
  5. Step 5: Solve for x
    x = 232,568,233.53/24,181.65
  6. Step 6: Final answer
    x = 9,617.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.