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Finding the Fourth Proportional to 25,475.22, 38,211 and 7,944.60

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Solution

The fourth proportional to 25,475.22, 38,211 and 7,944.60 is: 11,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.22 : 38,211 = 7,944.60 : x
  2. Step 2: Convert to fraction form
    25,475.22/38,211 = 7,944.60/x
  3. Step 3: Cross multiply
    25,475.22x = 38,211 × 7,944.60
  4. Step 4: Simplify right side
    25,475.22x = 303,571,110.60
  5. Step 5: Solve for x
    x = 303,571,110.60/25,475.22
  6. Step 6: Final answer
    x = 11,916.33

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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.