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Finding the Fourth Proportional to 13,741.64, 20,610.12 and 3,878.60

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Solution

The fourth proportional to 13,741.64, 20,610.12 and 3,878.60 is: 5,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.64 : 20,610.12 = 3,878.60 : x
  2. Step 2: Convert to fraction form
    13,741.64/20,610.12 = 3,878.60/x
  3. Step 3: Cross multiply
    13,741.64x = 20,610.12 × 3,878.60
  4. Step 4: Simplify right side
    13,741.64x = 79,938,462.96
  5. Step 5: Solve for x
    x = 79,938,462.96/13,741.64
  6. Step 6: Final answer
    x = 5,817.25

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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.