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Finding the Fourth Proportional to 20,129.88, 30,194.80 and 13,202.76

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Solution

The fourth proportional to 20,129.88, 30,194.80 and 13,202.76 is: 19,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.88 : 30,194.80 = 13,202.76 : x
  2. Step 2: Convert to fraction form
    20,129.88/30,194.80 = 13,202.76/x
  3. Step 3: Cross multiply
    20,129.88x = 30,194.80 × 13,202.76
  4. Step 4: Simplify right side
    20,129.88x = 398,654,697.65
  5. Step 5: Solve for x
    x = 398,654,697.65/20,129.88
  6. Step 6: Final answer
    x = 19,804.13

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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.