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Finding the Fourth Proportional to 20,253.96, 30,322.10 and 11,794.67

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Solution

The fourth proportional to 20,253.96, 30,322.10 and 11,794.67 is: 17,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.96 : 30,322.10 = 11,794.67 : x
  2. Step 2: Convert to fraction form
    20,253.96/30,322.10 = 11,794.67/x
  3. Step 3: Cross multiply
    20,253.96x = 30,322.10 × 11,794.67
  4. Step 4: Simplify right side
    20,253.96x = 357,639,028.43
  5. Step 5: Solve for x
    x = 357,639,028.43/20,253.96
  6. Step 6: Final answer
    x = 17,657.74

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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.