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Finding the Fourth Proportional to 20,406.54, 30,615.52 and 7,260.24

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Solution

The fourth proportional to 20,406.54, 30,615.52 and 7,260.24 is: 10,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.54 : 30,615.52 = 7,260.24 : x
  2. Step 2: Convert to fraction form
    20,406.54/30,615.52 = 7,260.24/x
  3. Step 3: Cross multiply
    20,406.54x = 30,615.52 × 7,260.24
  4. Step 4: Simplify right side
    20,406.54x = 222,276,022.92
  5. Step 5: Solve for x
    x = 222,276,022.92/20,406.54
  6. Step 6: Final answer
    x = 10,892.39

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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.