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Finding the Fourth Proportional to 25,532.82, 38,299.49 and 7,766.36

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Solution

The fourth proportional to 25,532.82, 38,299.49 and 7,766.36 is: 11,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.82 : 38,299.49 = 7,766.36 : x
  2. Step 2: Convert to fraction form
    25,532.82/38,299.49 = 7,766.36/x
  3. Step 3: Cross multiply
    25,532.82x = 38,299.49 × 7,766.36
  4. Step 4: Simplify right side
    25,532.82x = 297,447,627.16
  5. Step 5: Solve for x
    x = 297,447,627.16/25,532.82
  6. Step 6: Final answer
    x = 11,649.62

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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.