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Finding the Fourth Proportional to 19,408.86, 29,107.98 and 5,365.53

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Solution

The fourth proportional to 19,408.86, 29,107.98 and 5,365.53 is: 8,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.86 : 29,107.98 = 5,365.53 : x
  2. Step 2: Convert to fraction form
    19,408.86/29,107.98 = 5,365.53/x
  3. Step 3: Cross multiply
    19,408.86x = 29,107.98 × 5,365.53
  4. Step 4: Simplify right side
    19,408.86x = 156,179,739.93
  5. Step 5: Solve for x
    x = 156,179,739.93/19,408.86
  6. Step 6: Final answer
    x = 8,046.83

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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.