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Finding the Fourth Proportional to 19,086.32, 28,629.14 and 7,839.27

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Solution

The fourth proportional to 19,086.32, 28,629.14 and 7,839.27 is: 11,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086.32 : 28,629.14 = 7,839.27 : x
  2. Step 2: Convert to fraction form
    19,086.32/28,629.14 = 7,839.27/x
  3. Step 3: Cross multiply
    19,086.32x = 28,629.14 × 7,839.27
  4. Step 4: Simplify right side
    19,086.32x = 224,431,519.13
  5. Step 5: Solve for x
    x = 224,431,519.13/19,086.32
  6. Step 6: Final answer
    x = 11,758.77

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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.