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Finding the Fourth Proportional to 12,771.69, 19,157.50 and 4,007.26

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Solution

The fourth proportional to 12,771.69, 19,157.50 and 4,007.26 is: 6,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.69 : 19,157.50 = 4,007.26 : x
  2. Step 2: Convert to fraction form
    12,771.69/19,157.50 = 4,007.26/x
  3. Step 3: Cross multiply
    12,771.69x = 19,157.50 × 4,007.26
  4. Step 4: Simplify right side
    12,771.69x = 76,769,083.45
  5. Step 5: Solve for x
    x = 76,769,083.45/12,771.69
  6. Step 6: Final answer
    x = 6,010.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.