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Finding the Fourth Proportional to 13,383.14, 18,466.50 and 8,604.14

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Solution

The fourth proportional to 13,383.14, 18,466.50 and 8,604.14 is: 11,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.14 : 18,466.50 = 8,604.14 : x
  2. Step 2: Convert to fraction form
    13,383.14/18,466.50 = 8,604.14/x
  3. Step 3: Cross multiply
    13,383.14x = 18,466.50 × 8,604.14
  4. Step 4: Simplify right side
    13,383.14x = 158,888,351.31
  5. Step 5: Solve for x
    x = 158,888,351.31/13,383.14
  6. Step 6: Final answer
    x = 11,872.28

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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.