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Finding the Fourth Proportional to 13,455.18, 20,182.78 and 6,433.54

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Solution

The fourth proportional to 13,455.18, 20,182.78 and 6,433.54 is: 9,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.18 : 20,182.78 = 6,433.54 : x
  2. Step 2: Convert to fraction form
    13,455.18/20,182.78 = 6,433.54/x
  3. Step 3: Cross multiply
    13,455.18x = 20,182.78 × 6,433.54
  4. Step 4: Simplify right side
    13,455.18x = 129,846,621.53
  5. Step 5: Solve for x
    x = 129,846,621.53/13,455.18
  6. Step 6: Final answer
    x = 9,650.31

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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.