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Finding the Fourth Proportional to 12,716.34, 19,074.52 and 3,951.24

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Solution

The fourth proportional to 12,716.34, 19,074.52 and 3,951.24 is: 5,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.34 : 19,074.52 = 3,951.24 : x
  2. Step 2: Convert to fraction form
    12,716.34/19,074.52 = 3,951.24/x
  3. Step 3: Cross multiply
    12,716.34x = 19,074.52 × 3,951.24
  4. Step 4: Simplify right side
    12,716.34x = 75,368,006.40
  5. Step 5: Solve for x
    x = 75,368,006.40/12,716.34
  6. Step 6: Final answer
    x = 5,926.86

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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.