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Finding the Fourth Proportional to 13,648.05, 20,439.19 and 7,786.89

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Solution

The fourth proportional to 13,648.05, 20,439.19 and 7,786.89 is: 11,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.05 : 20,439.19 = 7,786.89 : x
  2. Step 2: Convert to fraction form
    13,648.05/20,439.19 = 7,786.89/x
  3. Step 3: Cross multiply
    13,648.05x = 20,439.19 × 7,786.89
  4. Step 4: Simplify right side
    13,648.05x = 159,157,724.22
  5. Step 5: Solve for x
    x = 159,157,724.22/13,648.05
  6. Step 6: Final answer
    x = 11,661.57

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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.