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Finding the Fourth Proportional to 13,728.06, 20,628.90 and 12,013.80

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Solution

The fourth proportional to 13,728.06, 20,628.90 and 12,013.80 is: 18,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.06 : 20,628.90 = 12,013.80 : x
  2. Step 2: Convert to fraction form
    13,728.06/20,628.90 = 12,013.80/x
  3. Step 3: Cross multiply
    13,728.06x = 20,628.90 × 12,013.80
  4. Step 4: Simplify right side
    13,728.06x = 247,831,478.82
  5. Step 5: Solve for x
    x = 247,831,478.82/13,728.06
  6. Step 6: Final answer
    x = 18,052.91

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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.