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Finding the Fourth Proportional to 13,459.34, 20,193.60 and 4,099.52

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Solution

The fourth proportional to 13,459.34, 20,193.60 and 4,099.52 is: 6,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.34 : 20,193.60 = 4,099.52 : x
  2. Step 2: Convert to fraction form
    13,459.34/20,193.60 = 4,099.52/x
  3. Step 3: Cross multiply
    13,459.34x = 20,193.60 × 4,099.52
  4. Step 4: Simplify right side
    13,459.34x = 82,784,067.07
  5. Step 5: Solve for x
    x = 82,784,067.07/13,459.34
  6. Step 6: Final answer
    x = 6,150.68

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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.