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Finding the Fourth Proportional to 20,194.92, 30,287.67 and 7,710.36

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Solution

The fourth proportional to 20,194.92, 30,287.67 and 7,710.36 is: 11,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.92 : 30,287.67 = 7,710.36 : x
  2. Step 2: Convert to fraction form
    20,194.92/30,287.67 = 7,710.36/x
  3. Step 3: Cross multiply
    20,194.92x = 30,287.67 × 7,710.36
  4. Step 4: Simplify right side
    20,194.92x = 233,528,839.26
  5. Step 5: Solve for x
    x = 233,528,839.26/20,194.92
  6. Step 6: Final answer
    x = 11,563.74

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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.