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Finding the Fourth Proportional to 13,533.36, 18,679.05 and 8,227.05

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Solution

The fourth proportional to 13,533.36, 18,679.05 and 8,227.05 is: 11,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.36 : 18,679.05 = 8,227.05 : x
  2. Step 2: Convert to fraction form
    13,533.36/18,679.05 = 8,227.05/x
  3. Step 3: Cross multiply
    13,533.36x = 18,679.05 × 8,227.05
  4. Step 4: Simplify right side
    13,533.36x = 153,673,478.30
  5. Step 5: Solve for x
    x = 153,673,478.30/13,533.36
  6. Step 6: Final answer
    x = 11,355.16

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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.