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Finding the Fourth Proportional to 13,500.87, 18,630.32 and 8,464.88

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Solution

The fourth proportional to 13,500.87, 18,630.32 and 8,464.88 is: 11,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.87 : 18,630.32 = 8,464.88 : x
  2. Step 2: Convert to fraction form
    13,500.87/18,630.32 = 8,464.88/x
  3. Step 3: Cross multiply
    13,500.87x = 18,630.32 × 8,464.88
  4. Step 4: Simplify right side
    13,500.87x = 157,703,287.69
  5. Step 5: Solve for x
    x = 157,703,287.69/13,500.87
  6. Step 6: Final answer
    x = 11,680.97

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