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Finding the Fourth Proportional to 13,850.08, 20,778 and 6,056.80

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Solution

The fourth proportional to 13,850.08, 20,778 and 6,056.80 is: 9,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.08 : 20,778 = 6,056.80 : x
  2. Step 2: Convert to fraction form
    13,850.08/20,778 = 6,056.80/x
  3. Step 3: Cross multiply
    13,850.08x = 20,778 × 6,056.80
  4. Step 4: Simplify right side
    13,850.08x = 125,848,190.40
  5. Step 5: Solve for x
    x = 125,848,190.40/13,850.08
  6. Step 6: Final answer
    x = 9,086.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.