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Finding the Fourth Proportional to 20,090.40, 30,139.38 and 8,083.46

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Solution

The fourth proportional to 20,090.40, 30,139.38 and 8,083.46 is: 12,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.40 : 30,139.38 = 8,083.46 : x
  2. Step 2: Convert to fraction form
    20,090.40/30,139.38 = 8,083.46/x
  3. Step 3: Cross multiply
    20,090.40x = 30,139.38 × 8,083.46
  4. Step 4: Simplify right side
    20,090.40x = 243,630,321.96
  5. Step 5: Solve for x
    x = 243,630,321.96/20,090.40
  6. Step 6: Final answer
    x = 12,126.70

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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.