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Finding the Fourth Proportional to 13,333.04, 18,400.80 and 8,027

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Solution

The fourth proportional to 13,333.04, 18,400.80 and 8,027 is: 11,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.04 : 18,400.80 = 8,027 : x
  2. Step 2: Convert to fraction form
    13,333.04/18,400.80 = 8,027/x
  3. Step 3: Cross multiply
    13,333.04x = 18,400.80 × 8,027
  4. Step 4: Simplify right side
    13,333.04x = 147,703,221.60
  5. Step 5: Solve for x
    x = 147,703,221.60/13,333.04
  6. Step 6: Final answer
    x = 11,077.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.