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Finding the Fourth Proportional to 19,682.28, 29,523.20 and 11,787

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Solution

The fourth proportional to 19,682.28, 29,523.20 and 11,787 is: 17,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.28 : 29,523.20 = 11,787 : x
  2. Step 2: Convert to fraction form
    19,682.28/29,523.20 = 11,787/x
  3. Step 3: Cross multiply
    19,682.28x = 29,523.20 × 11,787
  4. Step 4: Simplify right side
    19,682.28x = 347,989,958.40
  5. Step 5: Solve for x
    x = 347,989,958.40/19,682.28
  6. Step 6: Final answer
    x = 17,680.37

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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.