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Finding the Fourth Proportional to 20,194.12, 30,296.04 and 8,510.68

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Solution

The fourth proportional to 20,194.12, 30,296.04 and 8,510.68 is: 12,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.12 : 30,296.04 = 8,510.68 : x
  2. Step 2: Convert to fraction form
    20,194.12/30,296.04 = 8,510.68/x
  3. Step 3: Cross multiply
    20,194.12x = 30,296.04 × 8,510.68
  4. Step 4: Simplify right side
    20,194.12x = 257,839,901.71
  5. Step 5: Solve for x
    x = 257,839,901.71/20,194.12
  6. Step 6: Final answer
    x = 12,768.07

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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.