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Finding the Fourth Proportional to 25,114.25, 37,671.38 and 19,571.74

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Solution

The fourth proportional to 25,114.25, 37,671.38 and 19,571.74 is: 29,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.25 : 37,671.38 = 19,571.74 : x
  2. Step 2: Convert to fraction form
    25,114.25/37,671.38 = 19,571.74/x
  3. Step 3: Cross multiply
    25,114.25x = 37,671.38 × 19,571.74
  4. Step 4: Simplify right side
    25,114.25x = 737,294,500.05
  5. Step 5: Solve for x
    x = 737,294,500.05/25,114.25
  6. Step 6: Final answer
    x = 29,357.61

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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.