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Finding the Fourth Proportional to 20,243.12, 30,366.12 and 6,392

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Solution

The fourth proportional to 20,243.12, 30,366.12 and 6,392 is: 9,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243.12 : 30,366.12 = 6,392 : x
  2. Step 2: Convert to fraction form
    20,243.12/30,366.12 = 6,392/x
  3. Step 3: Cross multiply
    20,243.12x = 30,366.12 × 6,392
  4. Step 4: Simplify right side
    20,243.12x = 194,100,239.04
  5. Step 5: Solve for x
    x = 194,100,239.04/20,243.12
  6. Step 6: Final answer
    x = 9,588.45

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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.