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Finding the Fourth Proportional to 13,455.96, 20,183.96 and 6,434.32

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Solution

The fourth proportional to 13,455.96, 20,183.96 and 6,434.32 is: 9,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.96 : 20,183.96 = 6,434.32 : x
  2. Step 2: Convert to fraction form
    13,455.96/20,183.96 = 6,434.32/x
  3. Step 3: Cross multiply
    13,455.96x = 20,183.96 × 6,434.32
  4. Step 4: Simplify right side
    13,455.96x = 129,870,057.51
  5. Step 5: Solve for x
    x = 129,870,057.51/13,455.96
  6. Step 6: Final answer
    x = 9,651.49

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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.