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Finding the Fourth Proportional to 13,626, 20,443.92 and 6,705.36

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Solution

The fourth proportional to 13,626, 20,443.92 and 6,705.36 is: 10,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626 : 20,443.92 = 6,705.36 : x
  2. Step 2: Convert to fraction form
    13,626/20,443.92 = 6,705.36/x
  3. Step 3: Cross multiply
    13,626x = 20,443.92 × 6,705.36
  4. Step 4: Simplify right side
    13,626x = 137,083,843.41
  5. Step 5: Solve for x
    x = 137,083,843.41/13,626
  6. Step 6: Final answer
    x = 10,060.46

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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.