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Finding the Fourth Proportional to 24,114.29, 36,194.81 and 11,643.09

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Solution

The fourth proportional to 24,114.29, 36,194.81 and 11,643.09 is: 17,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.29 : 36,194.81 = 11,643.09 : x
  2. Step 2: Convert to fraction form
    24,114.29/36,194.81 = 11,643.09/x
  3. Step 3: Cross multiply
    24,114.29x = 36,194.81 × 11,643.09
  4. Step 4: Simplify right side
    24,114.29x = 421,419,372.15
  5. Step 5: Solve for x
    x = 421,419,372.15/24,114.29
  6. Step 6: Final answer
    x = 17,475.92

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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.