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Finding the Fourth Proportional to 19,408.97, 29,089.94 and 13,777.79

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Solution

The fourth proportional to 19,408.97, 29,089.94 and 13,777.79 is: 20,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.97 : 29,089.94 = 13,777.79 : x
  2. Step 2: Convert to fraction form
    19,408.97/29,089.94 = 13,777.79/x
  3. Step 3: Cross multiply
    19,408.97x = 29,089.94 × 13,777.79
  4. Step 4: Simplify right side
    19,408.97x = 400,794,870.09
  5. Step 5: Solve for x
    x = 400,794,870.09/19,408.97
  6. Step 6: Final answer
    x = 20,649.98

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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.