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Finding the Fourth Proportional to 13,662.36, 20,494.26 and 7,824.60

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Solution

The fourth proportional to 13,662.36, 20,494.26 and 7,824.60 is: 11,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.36 : 20,494.26 = 7,824.60 : x
  2. Step 2: Convert to fraction form
    13,662.36/20,494.26 = 7,824.60/x
  3. Step 3: Cross multiply
    13,662.36x = 20,494.26 × 7,824.60
  4. Step 4: Simplify right side
    13,662.36x = 160,359,386.80
  5. Step 5: Solve for x
    x = 160,359,386.80/13,662.36
  6. Step 6: Final answer
    x = 11,737.31

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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.