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Finding the Fourth Proportional to 18,608.50, 25,680.18 and 10,225

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Solution

The fourth proportional to 18,608.50, 25,680.18 and 10,225 is: 14,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,608.50 : 25,680.18 = 10,225 : x
  2. Step 2: Convert to fraction form
    18,608.50/25,680.18 = 10,225/x
  3. Step 3: Cross multiply
    18,608.50x = 25,680.18 × 10,225
  4. Step 4: Simplify right side
    18,608.50x = 262,579,840.50
  5. Step 5: Solve for x
    x = 262,579,840.50/18,608.50
  6. Step 6: Final answer
    x = 14,110.75

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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.