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Finding the Fourth Proportional to 20,133.87, 27,785.12 and 11,182.22

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Solution

The fourth proportional to 20,133.87, 27,785.12 and 11,182.22 is: 15,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.87 : 27,785.12 = 11,182.22 : x
  2. Step 2: Convert to fraction form
    20,133.87/27,785.12 = 11,182.22/x
  3. Step 3: Cross multiply
    20,133.87x = 27,785.12 × 11,182.22
  4. Step 4: Simplify right side
    20,133.87x = 310,699,185.64
  5. Step 5: Solve for x
    x = 310,699,185.64/20,133.87
  6. Step 6: Final answer
    x = 15,431.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.