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Finding the Fourth Proportional to 13,784.33, 20,647.94 and 7,190.52

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Solution

The fourth proportional to 13,784.33, 20,647.94 and 7,190.52 is: 10,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.33 : 20,647.94 = 7,190.52 : x
  2. Step 2: Convert to fraction form
    13,784.33/20,647.94 = 7,190.52/x
  3. Step 3: Cross multiply
    13,784.33x = 20,647.94 × 7,190.52
  4. Step 4: Simplify right side
    13,784.33x = 148,469,389.58
  5. Step 5: Solve for x
    x = 148,469,389.58/13,784.33
  6. Step 6: Final answer
    x = 10,770.89

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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.