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Finding the Fourth Proportional to 12,772.00, 19,157.98 and 4,007.60

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Solution

The fourth proportional to 12,772.00, 19,157.98 and 4,007.60 is: 6,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.00 : 19,157.98 = 4,007.60 : x
  2. Step 2: Convert to fraction form
    12,772.00/19,157.98 = 4,007.60/x
  3. Step 3: Cross multiply
    12,772.00x = 19,157.98 × 4,007.60
  4. Step 4: Simplify right side
    12,772.00x = 76,777,414.84
  5. Step 5: Solve for x
    x = 76,777,414.84/12,772.00
  6. Step 6: Final answer
    x = 6,011.39

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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.