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Finding the Fourth Proportional to 20,495.65, 30,743.07 and 6,644.65

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Solution

The fourth proportional to 20,495.65, 30,743.07 and 6,644.65 is: 9,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.65 : 30,743.07 = 6,644.65 : x
  2. Step 2: Convert to fraction form
    20,495.65/30,743.07 = 6,644.65/x
  3. Step 3: Cross multiply
    20,495.65x = 30,743.07 × 6,644.65
  4. Step 4: Simplify right side
    20,495.65x = 204,276,940.08
  5. Step 5: Solve for x
    x = 204,276,940.08/20,495.65
  6. Step 6: Final answer
    x = 9,966.84

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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.