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Finding the Fourth Proportional to 24,147.70, 36,229.44 and 11,669.16

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Solution

The fourth proportional to 24,147.70, 36,229.44 and 11,669.16 is: 17,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.70 : 36,229.44 = 11,669.16 : x
  2. Step 2: Convert to fraction form
    24,147.70/36,229.44 = 11,669.16/x
  3. Step 3: Cross multiply
    24,147.70x = 36,229.44 × 11,669.16
  4. Step 4: Simplify right side
    24,147.70x = 422,767,132.07
  5. Step 5: Solve for x
    x = 422,767,132.07/24,147.70
  6. Step 6: Final answer
    x = 17,507.55

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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.