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Finding the Fourth Proportional to 20,561.53, 30,842.31 and 11,777.68

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Solution

The fourth proportional to 20,561.53, 30,842.31 and 11,777.68 is: 17,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.53 : 30,842.31 = 11,777.68 : x
  2. Step 2: Convert to fraction form
    20,561.53/30,842.31 = 11,777.68/x
  3. Step 3: Cross multiply
    20,561.53x = 30,842.31 × 11,777.68
  4. Step 4: Simplify right side
    20,561.53x = 363,250,857.64
  5. Step 5: Solve for x
    x = 363,250,857.64/20,561.53
  6. Step 6: Final answer
    x = 17,666.53

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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.