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Finding the Fourth Proportional to 13,504.13, 20,256.12 and 3,644.40

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Solution

The fourth proportional to 13,504.13, 20,256.12 and 3,644.40 is: 5,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.13 : 20,256.12 = 3,644.40 : x
  2. Step 2: Convert to fraction form
    13,504.13/20,256.12 = 3,644.40/x
  3. Step 3: Cross multiply
    13,504.13x = 20,256.12 × 3,644.40
  4. Step 4: Simplify right side
    13,504.13x = 73,821,403.73
  5. Step 5: Solve for x
    x = 73,821,403.73/13,504.13
  6. Step 6: Final answer
    x = 5,466.58

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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.