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Finding the Fourth Proportional to 20,135.88, 30,199.14 and 7,657.38

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Solution

The fourth proportional to 20,135.88, 30,199.14 and 7,657.38 is: 11,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.88 : 30,199.14 = 7,657.38 : x
  2. Step 2: Convert to fraction form
    20,135.88/30,199.14 = 7,657.38/x
  3. Step 3: Cross multiply
    20,135.88x = 30,199.14 × 7,657.38
  4. Step 4: Simplify right side
    20,135.88x = 231,246,290.65
  5. Step 5: Solve for x
    x = 231,246,290.65/20,135.88
  6. Step 6: Final answer
    x = 11,484.29

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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.