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Finding the Fourth Proportional to 25,082, 37,611.60 and 11,950.24

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Solution

The fourth proportional to 25,082, 37,611.60 and 11,950.24 is: 17,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082 : 37,611.60 = 11,950.24 : x
  2. Step 2: Convert to fraction form
    25,082/37,611.60 = 11,950.24/x
  3. Step 3: Cross multiply
    25,082x = 37,611.60 × 11,950.24
  4. Step 4: Simplify right side
    25,082x = 449,467,646.78
  5. Step 5: Solve for x
    x = 449,467,646.78/25,082
  6. Step 6: Final answer
    x = 17,919.93

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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.