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Finding the Fourth Proportional to 20,198.22, 30,301.95 and 6,159.51

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Solution

The fourth proportional to 20,198.22, 30,301.95 and 6,159.51 is: 9,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.22 : 30,301.95 = 6,159.51 : x
  2. Step 2: Convert to fraction form
    20,198.22/30,301.95 = 6,159.51/x
  3. Step 3: Cross multiply
    20,198.22x = 30,301.95 × 6,159.51
  4. Step 4: Simplify right side
    20,198.22x = 186,645,164.04
  5. Step 5: Solve for x
    x = 186,645,164.04/20,198.22
  6. Step 6: Final answer
    x = 9,240.67

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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.