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Finding the Fourth Proportional to 23,861.40, 35,792.10 and 12,197.40

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Solution

The fourth proportional to 23,861.40, 35,792.10 and 12,197.40 is: 18,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.40 : 35,792.10 = 12,197.40 : x
  2. Step 2: Convert to fraction form
    23,861.40/35,792.10 = 12,197.40/x
  3. Step 3: Cross multiply
    23,861.40x = 35,792.10 × 12,197.40
  4. Step 4: Simplify right side
    23,861.40x = 436,570,560.54
  5. Step 5: Solve for x
    x = 436,570,560.54/23,861.40
  6. Step 6: Final answer
    x = 18,296.10

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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.