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Finding the Fourth Proportional to 20,232.69, 30,353.64 and 6,193.82

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Solution

The fourth proportional to 20,232.69, 30,353.64 and 6,193.82 is: 9,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.69 : 30,353.64 = 6,193.82 : x
  2. Step 2: Convert to fraction form
    20,232.69/30,353.64 = 6,193.82/x
  3. Step 3: Cross multiply
    20,232.69x = 30,353.64 × 6,193.82
  4. Step 4: Simplify right side
    20,232.69x = 188,004,864.42
  5. Step 5: Solve for x
    x = 188,004,864.42/20,232.69
  6. Step 6: Final answer
    x = 9,292.14

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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.