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Finding the Fourth Proportional to 20,134.40, 30,189.78 and 6,090.20

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Solution

The fourth proportional to 20,134.40, 30,189.78 and 6,090.20 is: 9,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.40 : 30,189.78 = 6,090.20 : x
  2. Step 2: Convert to fraction form
    20,134.40/30,189.78 = 6,090.20/x
  3. Step 3: Cross multiply
    20,134.40x = 30,189.78 × 6,090.20
  4. Step 4: Simplify right side
    20,134.40x = 183,861,798.16
  5. Step 5: Solve for x
    x = 183,861,798.16/20,134.40
  6. Step 6: Final answer
    x = 9,131.72

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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.