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Finding the Fourth Proportional to 25,774.70, 38,662.04 and 8,245.89

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Solution

The fourth proportional to 25,774.70, 38,662.04 and 8,245.89 is: 12,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.70 : 38,662.04 = 8,245.89 : x
  2. Step 2: Convert to fraction form
    25,774.70/38,662.04 = 8,245.89/x
  3. Step 3: Cross multiply
    25,774.70x = 38,662.04 × 8,245.89
  4. Step 4: Simplify right side
    25,774.70x = 318,802,887.79
  5. Step 5: Solve for x
    x = 318,802,887.79/25,774.70
  6. Step 6: Final answer
    x = 12,368.83

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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.