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Finding the Fourth Proportional to 13,797.84, 20,697.57 and 4,308.87

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Solution

The fourth proportional to 13,797.84, 20,697.57 and 4,308.87 is: 6,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.84 : 20,697.57 = 4,308.87 : x
  2. Step 2: Convert to fraction form
    13,797.84/20,697.57 = 4,308.87/x
  3. Step 3: Cross multiply
    13,797.84x = 20,697.57 × 4,308.87
  4. Step 4: Simplify right side
    13,797.84x = 89,183,138.45
  5. Step 5: Solve for x
    x = 89,183,138.45/13,797.84
  6. Step 6: Final answer
    x = 6,463.56

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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.