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Finding the Fourth Proportional to 12,771.25, 19,156.85 and 4,006.85

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Solution

The fourth proportional to 12,771.25, 19,156.85 and 4,006.85 is: 6,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.25 : 19,156.85 = 4,006.85 : x
  2. Step 2: Convert to fraction form
    12,771.25/19,156.85 = 4,006.85/x
  3. Step 3: Cross multiply
    12,771.25x = 19,156.85 × 4,006.85
  4. Step 4: Simplify right side
    12,771.25x = 76,758,546.17
  5. Step 5: Solve for x
    x = 76,758,546.17/12,771.25
  6. Step 6: Final answer
    x = 6,010.26

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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.