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Finding the Fourth Proportional to 23,415.43, 35,115.84 and 7,829.41

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Solution

The fourth proportional to 23,415.43, 35,115.84 and 7,829.41 is: 11,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.43 : 35,115.84 = 7,829.41 : x
  2. Step 2: Convert to fraction form
    23,415.43/35,115.84 = 7,829.41/x
  3. Step 3: Cross multiply
    23,415.43x = 35,115.84 × 7,829.41
  4. Step 4: Simplify right side
    23,415.43x = 274,936,308.85
  5. Step 5: Solve for x
    x = 274,936,308.85/23,415.43
  6. Step 6: Final answer
    x = 11,741.67

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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.