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Finding the Fourth Proportional to 16,047.44, 24,076.85 and 7,161.95

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Solution

The fourth proportional to 16,047.44, 24,076.85 and 7,161.95 is: 10,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.44 : 24,076.85 = 7,161.95 : x
  2. Step 2: Convert to fraction form
    16,047.44/24,076.85 = 7,161.95/x
  3. Step 3: Cross multiply
    16,047.44x = 24,076.85 × 7,161.95
  4. Step 4: Simplify right side
    16,047.44x = 172,437,039.66
  5. Step 5: Solve for x
    x = 172,437,039.66/16,047.44
  6. Step 6: Final answer
    x = 10,745.46

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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.