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Finding the Fourth Proportional to 12,771.97, 19,157.93 and 4,006.87

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Solution

The fourth proportional to 12,771.97, 19,157.93 and 4,006.87 is: 6,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.97 : 19,157.93 = 4,006.87 : x
  2. Step 2: Convert to fraction form
    12,771.97/19,157.93 = 4,006.87/x
  3. Step 3: Cross multiply
    12,771.97x = 19,157.93 × 4,006.87
  4. Step 4: Simplify right side
    12,771.97x = 76,763,219.16
  5. Step 5: Solve for x
    x = 76,763,219.16/12,771.97
  6. Step 6: Final answer
    x = 6,010.29

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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.