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Finding the Fourth Proportional to 18,738.50, 25,861.02 and 10,355

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Solution

The fourth proportional to 18,738.50, 25,861.02 and 10,355 is: 14,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738.50 : 25,861.02 = 10,355 : x
  2. Step 2: Convert to fraction form
    18,738.50/25,861.02 = 10,355/x
  3. Step 3: Cross multiply
    18,738.50x = 25,861.02 × 10,355
  4. Step 4: Simplify right side
    18,738.50x = 267,790,862.10
  5. Step 5: Solve for x
    x = 267,790,862.10/18,738.50
  6. Step 6: Final answer
    x = 14,290.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.