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Finding the Fourth Proportional to 24,289.94, 36,439.77 and 7,652.54

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Solution

The fourth proportional to 24,289.94, 36,439.77 and 7,652.54 is: 11,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.94 : 36,439.77 = 7,652.54 : x
  2. Step 2: Convert to fraction form
    24,289.94/36,439.77 = 7,652.54/x
  3. Step 3: Cross multiply
    24,289.94x = 36,439.77 × 7,652.54
  4. Step 4: Simplify right side
    24,289.94x = 278,856,797.52
  5. Step 5: Solve for x
    x = 278,856,797.52/24,289.94
  6. Step 6: Final answer
    x = 11,480.34

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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.