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Finding the Fourth Proportional to 13,520.99, 20,281.53 and 4,160.84

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Solution

The fourth proportional to 13,520.99, 20,281.53 and 4,160.84 is: 6,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.99 : 20,281.53 = 4,160.84 : x
  2. Step 2: Convert to fraction form
    13,520.99/20,281.53 = 4,160.84/x
  3. Step 3: Cross multiply
    13,520.99x = 20,281.53 × 4,160.84
  4. Step 4: Simplify right side
    13,520.99x = 84,388,099.88
  5. Step 5: Solve for x
    x = 84,388,099.88/13,520.99
  6. Step 6: Final answer
    x = 6,241.27

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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.