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Finding the Fourth Proportional to 24,229.27, 36,365.78 and 10,199.67

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Solution

The fourth proportional to 24,229.27, 36,365.78 and 10,199.67 is: 15,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229.27 : 36,365.78 = 10,199.67 : x
  2. Step 2: Convert to fraction form
    24,229.27/36,365.78 = 10,199.67/x
  3. Step 3: Cross multiply
    24,229.27x = 36,365.78 × 10,199.67
  4. Step 4: Simplify right side
    24,229.27x = 370,918,955.29
  5. Step 5: Solve for x
    x = 370,918,955.29/24,229.27
  6. Step 6: Final answer
    x = 15,308.71

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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.