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Finding the Fourth Proportional to 14,064.44, 19,408.21 and 7,775.60

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Solution

The fourth proportional to 14,064.44, 19,408.21 and 7,775.60 is: 10,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.44 : 19,408.21 = 7,775.60 : x
  2. Step 2: Convert to fraction form
    14,064.44/19,408.21 = 7,775.60/x
  3. Step 3: Cross multiply
    14,064.44x = 19,408.21 × 7,775.60
  4. Step 4: Simplify right side
    14,064.44x = 150,910,361.20
  5. Step 5: Solve for x
    x = 150,910,361.20/14,064.44
  6. Step 6: Final answer
    x = 10,729.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.