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Finding the Fourth Proportional to 20,405.62, 30,617.84 and 9,315.71

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Solution

The fourth proportional to 20,405.62, 30,617.84 and 9,315.71 is: 13,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.62 : 30,617.84 = 9,315.71 : x
  2. Step 2: Convert to fraction form
    20,405.62/30,617.84 = 9,315.71/x
  3. Step 3: Cross multiply
    20,405.62x = 30,617.84 × 9,315.71
  4. Step 4: Simplify right side
    20,405.62x = 285,226,765.18
  5. Step 5: Solve for x
    x = 285,226,765.18/20,405.62
  6. Step 6: Final answer
    x = 13,977.86

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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.