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Finding the Fourth Proportional to 13,232.63, 18,269.58 and 8,202.20

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Solution

The fourth proportional to 13,232.63, 18,269.58 and 8,202.20 is: 11,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.63 : 18,269.58 = 8,202.20 : x
  2. Step 2: Convert to fraction form
    13,232.63/18,269.58 = 8,202.20/x
  3. Step 3: Cross multiply
    13,232.63x = 18,269.58 × 8,202.20
  4. Step 4: Simplify right side
    13,232.63x = 149,850,749.08
  5. Step 5: Solve for x
    x = 149,850,749.08/13,232.63
  6. Step 6: Final answer
    x = 11,324.34

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Why These Related Problems?

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