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Finding the Fourth Proportional to 13,778.62, 20,667.94 and 5,460.58

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Solution

The fourth proportional to 13,778.62, 20,667.94 and 5,460.58 is: 8,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.62 : 20,667.94 = 5,460.58 : x
  2. Step 2: Convert to fraction form
    13,778.62/20,667.94 = 5,460.58/x
  3. Step 3: Cross multiply
    13,778.62x = 20,667.94 × 5,460.58
  4. Step 4: Simplify right side
    13,778.62x = 112,858,939.81
  5. Step 5: Solve for x
    x = 112,858,939.81/13,778.62
  6. Step 6: Final answer
    x = 8,190.87

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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.