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Finding the Fourth Proportional to 20,583.93, 30,843.09 and 13,182.30

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Solution

The fourth proportional to 20,583.93, 30,843.09 and 13,182.30 is: 19,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583.93 : 30,843.09 = 13,182.30 : x
  2. Step 2: Convert to fraction form
    20,583.93/30,843.09 = 13,182.30/x
  3. Step 3: Cross multiply
    20,583.93x = 30,843.09 × 13,182.30
  4. Step 4: Simplify right side
    20,583.93x = 406,582,865.31
  5. Step 5: Solve for x
    x = 406,582,865.31/20,583.93
  6. Step 6: Final answer
    x = 19,752.44

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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.