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Finding the Fourth Proportional to 20,078.81, 30,145.79 and 10,224.71

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Solution

The fourth proportional to 20,078.81, 30,145.79 and 10,224.71 is: 15,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.81 : 30,145.79 = 10,224.71 : x
  2. Step 2: Convert to fraction form
    20,078.81/30,145.79 = 10,224.71/x
  3. Step 3: Cross multiply
    20,078.81x = 30,145.79 × 10,224.71
  4. Step 4: Simplify right side
    20,078.81x = 308,231,835.30
  5. Step 5: Solve for x
    x = 308,231,835.30/20,078.81
  6. Step 6: Final answer
    x = 15,351.10

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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.