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Finding the Fourth Proportional to 12,771.50, 19,157.24 and 4,007.08

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Solution

The fourth proportional to 12,771.50, 19,157.24 and 4,007.08 is: 6,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.50 : 19,157.24 = 4,007.08 : x
  2. Step 2: Convert to fraction form
    12,771.50/19,157.24 = 4,007.08/x
  3. Step 3: Cross multiply
    12,771.50x = 19,157.24 × 4,007.08
  4. Step 4: Simplify right side
    12,771.50x = 76,764,593.26
  5. Step 5: Solve for x
    x = 76,764,593.26/12,771.50
  6. Step 6: Final answer
    x = 6,010.62

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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.