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Finding the Fourth Proportional to 20,090.34, 30,141.77 and 12,093.84

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Solution

The fourth proportional to 20,090.34, 30,141.77 and 12,093.84 is: 18,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.34 : 30,141.77 = 12,093.84 : x
  2. Step 2: Convert to fraction form
    20,090.34/30,141.77 = 12,093.84/x
  3. Step 3: Cross multiply
    20,090.34x = 30,141.77 × 12,093.84
  4. Step 4: Simplify right side
    20,090.34x = 364,529,683.23
  5. Step 5: Solve for x
    x = 364,529,683.23/20,090.34
  6. Step 6: Final answer
    x = 18,144.53

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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.