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Finding the Fourth Proportional to 12,771.47, 19,157.41 and 4,006.46

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Solution

The fourth proportional to 12,771.47, 19,157.41 and 4,006.46 is: 6,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.47 : 19,157.41 = 4,006.46 : x
  2. Step 2: Convert to fraction form
    12,771.47/19,157.41 = 4,006.46/x
  3. Step 3: Cross multiply
    12,771.47x = 19,157.41 × 4,006.46
  4. Step 4: Simplify right side
    12,771.47x = 76,753,396.87
  5. Step 5: Solve for x
    x = 76,753,396.87/12,771.47
  6. Step 6: Final answer
    x = 6,009.75

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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.