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Finding the Fourth Proportional to 12,989.53, 19,491.57 and 5,198.95

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Solution

The fourth proportional to 12,989.53, 19,491.57 and 5,198.95 is: 7,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.53 : 19,491.57 = 5,198.95 : x
  2. Step 2: Convert to fraction form
    12,989.53/19,491.57 = 5,198.95/x
  3. Step 3: Cross multiply
    12,989.53x = 19,491.57 × 5,198.95
  4. Step 4: Simplify right side
    12,989.53x = 101,335,697.85
  5. Step 5: Solve for x
    x = 101,335,697.85/12,989.53
  6. Step 6: Final answer
    x = 7,801.34

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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.