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Finding the Fourth Proportional to 13,647.40, 20,438.29 and 7,786.24

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Solution

The fourth proportional to 13,647.40, 20,438.29 and 7,786.24 is: 11,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.40 : 20,438.29 = 7,786.24 : x
  2. Step 2: Convert to fraction form
    13,647.40/20,438.29 = 7,786.24/x
  3. Step 3: Cross multiply
    13,647.40x = 20,438.29 × 7,786.24
  4. Step 4: Simplify right side
    13,647.40x = 159,137,309.47
  5. Step 5: Solve for x
    x = 159,137,309.47/13,647.40
  6. Step 6: Final answer
    x = 11,660.64

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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.