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Finding the Fourth Proportional to 23,745.12, 35,640.80 and 11,441.76

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Solution

The fourth proportional to 23,745.12, 35,640.80 and 11,441.76 is: 17,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745.12 : 35,640.80 = 11,441.76 : x
  2. Step 2: Convert to fraction form
    23,745.12/35,640.80 = 11,441.76/x
  3. Step 3: Cross multiply
    23,745.12x = 35,640.80 × 11,441.76
  4. Step 4: Simplify right side
    23,745.12x = 407,793,479.81
  5. Step 5: Solve for x
    x = 407,793,479.81/23,745.12
  6. Step 6: Final answer
    x = 17,173.78

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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.