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Finding the Fourth Proportional to 13,772.70, 20,659.05 and 8,232.30

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Solution

The fourth proportional to 13,772.70, 20,659.05 and 8,232.30 is: 12,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.70 : 20,659.05 = 8,232.30 : x
  2. Step 2: Convert to fraction form
    13,772.70/20,659.05 = 8,232.30/x
  3. Step 3: Cross multiply
    13,772.70x = 20,659.05 × 8,232.30
  4. Step 4: Simplify right side
    13,772.70x = 170,071,497.32
  5. Step 5: Solve for x
    x = 170,071,497.32/13,772.70
  6. Step 6: Final answer
    x = 12,348.45

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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.