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Finding the Fourth Proportional to 20,185.85, 30,278.79 and 9,090.47

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Solution

The fourth proportional to 20,185.85, 30,278.79 and 9,090.47 is: 13,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.85 : 30,278.79 = 9,090.47 : x
  2. Step 2: Convert to fraction form
    20,185.85/30,278.79 = 9,090.47/x
  3. Step 3: Cross multiply
    20,185.85x = 30,278.79 × 9,090.47
  4. Step 4: Simplify right side
    20,185.85x = 275,248,280.74
  5. Step 5: Solve for x
    x = 275,248,280.74/20,185.85
  6. Step 6: Final answer
    x = 13,635.71

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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.