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Finding the Fourth Proportional to 20,129.90, 30,194.96 and 11,804.08

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Solution

The fourth proportional to 20,129.90, 30,194.96 and 11,804.08 is: 17,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.90 : 30,194.96 = 11,804.08 : x
  2. Step 2: Convert to fraction form
    20,129.90/30,194.96 = 11,804.08/x
  3. Step 3: Cross multiply
    20,129.90x = 30,194.96 × 11,804.08
  4. Step 4: Simplify right side
    20,129.90x = 356,423,723.44
  5. Step 5: Solve for x
    x = 356,423,723.44/20,129.90
  6. Step 6: Final answer
    x = 17,706.18

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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.