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Finding the Fourth Proportional to 24,377.46, 36,571.38 and 7,735.32

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Solution

The fourth proportional to 24,377.46, 36,571.38 and 7,735.32 is: 11,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.46 : 36,571.38 = 7,735.32 : x
  2. Step 2: Convert to fraction form
    24,377.46/36,571.38 = 7,735.32/x
  3. Step 3: Cross multiply
    24,377.46x = 36,571.38 × 7,735.32
  4. Step 4: Simplify right side
    24,377.46x = 282,891,327.14
  5. Step 5: Solve for x
    x = 282,891,327.14/24,377.46
  6. Step 6: Final answer
    x = 11,604.63

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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.