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Finding the Fourth Proportional to 19,845, 29,747.43 and 12,454.65

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Solution

The fourth proportional to 19,845, 29,747.43 and 12,454.65 is: 18,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 29,747.43 = 12,454.65 : x
  2. Step 2: Convert to fraction form
    19,845/29,747.43 = 12,454.65/x
  3. Step 3: Cross multiply
    19,845x = 29,747.43 × 12,454.65
  4. Step 4: Simplify right side
    19,845x = 370,493,829.05
  5. Step 5: Solve for x
    x = 370,493,829.05/19,845
  6. Step 6: Final answer
    x = 18,669.38

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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.