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Finding the Fourth Proportional to 20,581.93, 30,840.09 and 13,180.30

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Solution

The fourth proportional to 20,581.93, 30,840.09 and 13,180.30 is: 19,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.93 : 30,840.09 = 13,180.30 : x
  2. Step 2: Convert to fraction form
    20,581.93/30,840.09 = 13,180.30/x
  3. Step 3: Cross multiply
    20,581.93x = 30,840.09 × 13,180.30
  4. Step 4: Simplify right side
    20,581.93x = 406,481,638.23
  5. Step 5: Solve for x
    x = 406,481,638.23/20,581.93
  6. Step 6: Final answer
    x = 19,749.44

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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.