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Finding the Fourth Proportional to 24,234.54, 36,351.81 and 7,594.57

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Solution

The fourth proportional to 24,234.54, 36,351.81 and 7,594.57 is: 11,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.54 : 36,351.81 = 7,594.57 : x
  2. Step 2: Convert to fraction form
    24,234.54/36,351.81 = 7,594.57/x
  3. Step 3: Cross multiply
    24,234.54x = 36,351.81 × 7,594.57
  4. Step 4: Simplify right side
    24,234.54x = 276,076,145.94
  5. Step 5: Solve for x
    x = 276,076,145.94/24,234.54
  6. Step 6: Final answer
    x = 11,391.85

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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.