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Finding the Fourth Proportional to 20,194.68, 30,304.98 and 9,800.76

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Solution

The fourth proportional to 20,194.68, 30,304.98 and 9,800.76 is: 14,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.68 : 30,304.98 = 9,800.76 : x
  2. Step 2: Convert to fraction form
    20,194.68/30,304.98 = 9,800.76/x
  3. Step 3: Cross multiply
    20,194.68x = 30,304.98 × 9,800.76
  4. Step 4: Simplify right side
    20,194.68x = 297,011,835.78
  5. Step 5: Solve for x
    x = 297,011,835.78/20,194.68
  6. Step 6: Final answer
    x = 14,707.43

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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.