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Finding the Fourth Proportional to 12,763.86, 19,144.58 and 3,998.85

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Solution

The fourth proportional to 12,763.86, 19,144.58 and 3,998.85 is: 5,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.86 : 19,144.58 = 3,998.85 : x
  2. Step 2: Convert to fraction form
    12,763.86/19,144.58 = 3,998.85/x
  3. Step 3: Cross multiply
    12,763.86x = 19,144.58 × 3,998.85
  4. Step 4: Simplify right side
    12,763.86x = 76,556,283.74
  5. Step 5: Solve for x
    x = 76,556,283.74/12,763.86
  6. Step 6: Final answer
    x = 5,997.89

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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.