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Finding the Fourth Proportional to 20,141.40, 30,200.28 and 6,097.20

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Solution

The fourth proportional to 20,141.40, 30,200.28 and 6,097.20 is: 9,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.40 : 30,200.28 = 6,097.20 : x
  2. Step 2: Convert to fraction form
    20,141.40/30,200.28 = 6,097.20/x
  3. Step 3: Cross multiply
    20,141.40x = 30,200.28 × 6,097.20
  4. Step 4: Simplify right side
    20,141.40x = 184,137,147.22
  5. Step 5: Solve for x
    x = 184,137,147.22/20,141.40
  6. Step 6: Final answer
    x = 9,142.22

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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.