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Finding the Fourth Proportional to 25,491.24, 38,237.25 and 9,696.48

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Solution

The fourth proportional to 25,491.24, 38,237.25 and 9,696.48 is: 14,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491.24 : 38,237.25 = 9,696.48 : x
  2. Step 2: Convert to fraction form
    25,491.24/38,237.25 = 9,696.48/x
  3. Step 3: Cross multiply
    25,491.24x = 38,237.25 × 9,696.48
  4. Step 4: Simplify right side
    25,491.24x = 370,766,729.88
  5. Step 5: Solve for x
    x = 370,766,729.88/25,491.24
  6. Step 6: Final answer
    x = 14,544.87

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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.