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Finding the Fourth Proportional to 13,645.46, 20,468.19 and 3,783.92

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Solution

The fourth proportional to 13,645.46, 20,468.19 and 3,783.92 is: 5,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.46 : 20,468.19 = 3,783.92 : x
  2. Step 2: Convert to fraction form
    13,645.46/20,468.19 = 3,783.92/x
  3. Step 3: Cross multiply
    13,645.46x = 20,468.19 × 3,783.92
  4. Step 4: Simplify right side
    13,645.46x = 77,449,905.35
  5. Step 5: Solve for x
    x = 77,449,905.35/13,645.46
  6. Step 6: Final answer
    x = 5,675.87

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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.