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Finding the Fourth Proportional to 13,466.54, 20,203.08 and 4,106.73

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Solution

The fourth proportional to 13,466.54, 20,203.08 and 4,106.73 is: 6,161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.54 : 20,203.08 = 4,106.73 : x
  2. Step 2: Convert to fraction form
    13,466.54/20,203.08 = 4,106.73/x
  3. Step 3: Cross multiply
    13,466.54x = 20,203.08 × 4,106.73
  4. Step 4: Simplify right side
    13,466.54x = 82,968,513.50
  5. Step 5: Solve for x
    x = 82,968,513.50/13,466.54
  6. Step 6: Final answer
    x = 6,161.09

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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.