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Finding the Fourth Proportional to 23,193.60, 34,782.30 and 12,096.60

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Solution

The fourth proportional to 23,193.60, 34,782.30 and 12,096.60 is: 18,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.60 : 34,782.30 = 12,096.60 : x
  2. Step 2: Convert to fraction form
    23,193.60/34,782.30 = 12,096.60/x
  3. Step 3: Cross multiply
    23,193.60x = 34,782.30 × 12,096.60
  4. Step 4: Simplify right side
    23,193.60x = 420,747,570.18
  5. Step 5: Solve for x
    x = 420,747,570.18/23,193.60
  6. Step 6: Final answer
    x = 18,140.68

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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.