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Finding the Fourth Proportional to 25,396.80, 38,096.28 and 7,866.96

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Solution

The fourth proportional to 25,396.80, 38,096.28 and 7,866.96 is: 11,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.80 : 38,096.28 = 7,866.96 : x
  2. Step 2: Convert to fraction form
    25,396.80/38,096.28 = 7,866.96/x
  3. Step 3: Cross multiply
    25,396.80x = 38,096.28 × 7,866.96
  4. Step 4: Simplify right side
    25,396.80x = 299,701,910.91
  5. Step 5: Solve for x
    x = 299,701,910.91/25,396.80
  6. Step 6: Final answer
    x = 11,800.77

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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.