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Finding the Fourth Proportional to 13,641.87, 20,462.74 and 3,781.12

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Solution

The fourth proportional to 13,641.87, 20,462.74 and 3,781.12 is: 5,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.87 : 20,462.74 = 3,781.12 : x
  2. Step 2: Convert to fraction form
    13,641.87/20,462.74 = 3,781.12/x
  3. Step 3: Cross multiply
    13,641.87x = 20,462.74 × 3,781.12
  4. Step 4: Simplify right side
    13,641.87x = 77,372,014.86
  5. Step 5: Solve for x
    x = 77,372,014.86/13,641.87
  6. Step 6: Final answer
    x = 5,671.66

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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.