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Finding the Fourth Proportional to 24,745.94, 37,121.07 and 6,976.72

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Solution

The fourth proportional to 24,745.94, 37,121.07 and 6,976.72 is: 10,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.94 : 37,121.07 = 6,976.72 : x
  2. Step 2: Convert to fraction form
    24,745.94/37,121.07 = 6,976.72/x
  3. Step 3: Cross multiply
    24,745.94x = 37,121.07 × 6,976.72
  4. Step 4: Simplify right side
    24,745.94x = 258,983,311.49
  5. Step 5: Solve for x
    x = 258,983,311.49/24,745.94
  6. Step 6: Final answer
    x = 10,465.69

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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.