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Finding the Fourth Proportional to 13,741.72, 20,612.48 and 3,880.92

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Solution

The fourth proportional to 13,741.72, 20,612.48 and 3,880.92 is: 5,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.72 : 20,612.48 = 3,880.92 : x
  2. Step 2: Convert to fraction form
    13,741.72/20,612.48 = 3,880.92/x
  3. Step 3: Cross multiply
    13,741.72x = 20,612.48 × 3,880.92
  4. Step 4: Simplify right side
    13,741.72x = 79,995,385.88
  5. Step 5: Solve for x
    x = 79,995,385.88/13,741.72
  6. Step 6: Final answer
    x = 5,821.35

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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.