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Finding the Fourth Proportional to 13,647, 20,475.30 and 6,726.36

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Solution

The fourth proportional to 13,647, 20,475.30 and 6,726.36 is: 10,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647 : 20,475.30 = 6,726.36 : x
  2. Step 2: Convert to fraction form
    13,647/20,475.30 = 6,726.36/x
  3. Step 3: Cross multiply
    13,647x = 20,475.30 × 6,726.36
  4. Step 4: Simplify right side
    13,647x = 137,724,238.91
  5. Step 5: Solve for x
    x = 137,724,238.91/13,647
  6. Step 6: Final answer
    x = 10,091.91

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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.