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Finding the Fourth Proportional to 13,463.86, 20,193.36 and 4,101.64

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Solution

The fourth proportional to 13,463.86, 20,193.36 and 4,101.64 is: 6,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.86 : 20,193.36 = 4,101.64 : x
  2. Step 2: Convert to fraction form
    13,463.86/20,193.36 = 4,101.64/x
  3. Step 3: Cross multiply
    13,463.86x = 20,193.36 × 4,101.64
  4. Step 4: Simplify right side
    13,463.86x = 82,825,893.11
  5. Step 5: Solve for x
    x = 82,825,893.11/13,463.86
  6. Step 6: Final answer
    x = 6,151.72

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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.