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Finding the Fourth Proportional to 20,305.68, 30,429.90 and 9,620.70

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Solution

The fourth proportional to 20,305.68, 30,429.90 and 9,620.70 is: 14,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.68 : 30,429.90 = 9,620.70 : x
  2. Step 2: Convert to fraction form
    20,305.68/30,429.90 = 9,620.70/x
  3. Step 3: Cross multiply
    20,305.68x = 30,429.90 × 9,620.70
  4. Step 4: Simplify right side
    20,305.68x = 292,756,938.93
  5. Step 5: Solve for x
    x = 292,756,938.93/20,305.68
  6. Step 6: Final answer
    x = 14,417.49

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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.