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Finding the Fourth Proportional to 25,489.75, 38,234.63 and 7,021.75

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Solution

The fourth proportional to 25,489.75, 38,234.63 and 7,021.75 is: 10,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.75 : 38,234.63 = 7,021.75 : x
  2. Step 2: Convert to fraction form
    25,489.75/38,234.63 = 7,021.75/x
  3. Step 3: Cross multiply
    25,489.75x = 38,234.63 × 7,021.75
  4. Step 4: Simplify right side
    25,489.75x = 268,474,013.20
  5. Step 5: Solve for x
    x = 268,474,013.20/25,489.75
  6. Step 6: Final answer
    x = 10,532.63

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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.