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Finding the Fourth Proportional to 25,139.88, 37,709.78 and 6,419.91

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Solution

The fourth proportional to 25,139.88, 37,709.78 and 6,419.91 is: 9,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139.88 : 37,709.78 = 6,419.91 : x
  2. Step 2: Convert to fraction form
    25,139.88/37,709.78 = 6,419.91/x
  3. Step 3: Cross multiply
    25,139.88x = 37,709.78 × 6,419.91
  4. Step 4: Simplify right side
    25,139.88x = 242,093,361.62
  5. Step 5: Solve for x
    x = 242,093,361.62/25,139.88
  6. Step 6: Final answer
    x = 9,629.85

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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.