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Finding the Fourth Proportional to 12,989.87, 19,483.18 and 5,198.75

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Solution

The fourth proportional to 12,989.87, 19,483.18 and 5,198.75 is: 7,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.87 : 19,483.18 = 5,198.75 : x
  2. Step 2: Convert to fraction form
    12,989.87/19,483.18 = 5,198.75/x
  3. Step 3: Cross multiply
    12,989.87x = 19,483.18 × 5,198.75
  4. Step 4: Simplify right side
    12,989.87x = 101,288,182.03
  5. Step 5: Solve for x
    x = 101,288,182.03/12,989.87
  6. Step 6: Final answer
    x = 7,797.47

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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.