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Finding the Fourth Proportional to 13,771.40, 20,642.66 and 6,741.72

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Solution

The fourth proportional to 13,771.40, 20,642.66 and 6,741.72 is: 10,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.40 : 20,642.66 = 6,741.72 : x
  2. Step 2: Convert to fraction form
    13,771.40/20,642.66 = 6,741.72/x
  3. Step 3: Cross multiply
    13,771.40x = 20,642.66 × 6,741.72
  4. Step 4: Simplify right side
    13,771.40x = 139,167,033.78
  5. Step 5: Solve for x
    x = 139,167,033.78/13,771.40
  6. Step 6: Final answer
    x = 10,105.51

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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.