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Finding the Fourth Proportional to 20,412.25, 30,610.48 and 7,930.63

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Solution

The fourth proportional to 20,412.25, 30,610.48 and 7,930.63 is: 11,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.25 : 30,610.48 = 7,930.63 : x
  2. Step 2: Convert to fraction form
    20,412.25/30,610.48 = 7,930.63/x
  3. Step 3: Cross multiply
    20,412.25x = 30,610.48 × 7,930.63
  4. Step 4: Simplify right side
    20,412.25x = 242,760,532.71
  5. Step 5: Solve for x
    x = 242,760,532.71/20,412.25
  6. Step 6: Final answer
    x = 11,892.88

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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.