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Finding the Fourth Proportional to 25,774.74, 38,667.87 and 8,245.62

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Solution

The fourth proportional to 25,774.74, 38,667.87 and 8,245.62 is: 12,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.74 : 38,667.87 = 8,245.62 : x
  2. Step 2: Convert to fraction form
    25,774.74/38,667.87 = 8,245.62/x
  3. Step 3: Cross multiply
    25,774.74x = 38,667.87 × 8,245.62
  4. Step 4: Simplify right side
    25,774.74x = 318,840,562.23
  5. Step 5: Solve for x
    x = 318,840,562.23/25,774.74
  6. Step 6: Final answer
    x = 12,370.27

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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.