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Finding the Fourth Proportional to 23,462.82, 35,194.50 and 7,880.45

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Solution

The fourth proportional to 23,462.82, 35,194.50 and 7,880.45 is: 11,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.82 : 35,194.50 = 7,880.45 : x
  2. Step 2: Convert to fraction form
    23,462.82/35,194.50 = 7,880.45/x
  3. Step 3: Cross multiply
    23,462.82x = 35,194.50 × 7,880.45
  4. Step 4: Simplify right side
    23,462.82x = 277,348,321.55
  5. Step 5: Solve for x
    x = 277,348,321.55/23,462.82
  6. Step 6: Final answer
    x = 11,820.76

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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.