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Finding the Fourth Proportional to 24,147.27, 36,213.40 and 11,659.53

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Solution

The fourth proportional to 24,147.27, 36,213.40 and 11,659.53 is: 17,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.27 : 36,213.40 = 11,659.53 : x
  2. Step 2: Convert to fraction form
    24,147.27/36,213.40 = 11,659.53/x
  3. Step 3: Cross multiply
    24,147.27x = 36,213.40 × 11,659.53
  4. Step 4: Simplify right side
    24,147.27x = 422,231,133.17
  5. Step 5: Solve for x
    x = 422,231,133.17/24,147.27
  6. Step 6: Final answer
    x = 17,485.67

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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.