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Finding the Fourth Proportional to 13,640.36, 20,461.70 and 3,779.64

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Solution

The fourth proportional to 13,640.36, 20,461.70 and 3,779.64 is: 5,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.36 : 20,461.70 = 3,779.64 : x
  2. Step 2: Convert to fraction form
    13,640.36/20,461.70 = 3,779.64/x
  3. Step 3: Cross multiply
    13,640.36x = 20,461.70 × 3,779.64
  4. Step 4: Simplify right side
    13,640.36x = 77,337,859.79
  5. Step 5: Solve for x
    x = 77,337,859.79/13,640.36
  6. Step 6: Final answer
    x = 5,669.78

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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.