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Finding the Fourth Proportional to 20,332.14, 30,496.40 and 7,183.86

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Solution

The fourth proportional to 20,332.14, 30,496.40 and 7,183.86 is: 10,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332.14 : 30,496.40 = 7,183.86 : x
  2. Step 2: Convert to fraction form
    20,332.14/30,496.40 = 7,183.86/x
  3. Step 3: Cross multiply
    20,332.14x = 30,496.40 × 7,183.86
  4. Step 4: Simplify right side
    20,332.14x = 219,081,868.10
  5. Step 5: Solve for x
    x = 219,081,868.10/20,332.14
  6. Step 6: Final answer
    x = 10,775.15

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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.