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Finding the Fourth Proportional to 20,407.12, 30,615.54 and 7,260.64

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Solution

The fourth proportional to 20,407.12, 30,615.54 and 7,260.64 is: 10,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.12 : 30,615.54 = 7,260.64 : x
  2. Step 2: Convert to fraction form
    20,407.12/30,615.54 = 7,260.64/x
  3. Step 3: Cross multiply
    20,407.12x = 30,615.54 × 7,260.64
  4. Step 4: Simplify right side
    20,407.12x = 222,288,414.35
  5. Step 5: Solve for x
    x = 222,288,414.35/20,407.12
  6. Step 6: Final answer
    x = 10,892.69

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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.