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Finding the Fourth Proportional to 25,150.94, 37,669 and 12,012.54

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Solution

The fourth proportional to 25,150.94, 37,669 and 12,012.54 is: 17,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.94 : 37,669 = 12,012.54 : x
  2. Step 2: Convert to fraction form
    25,150.94/37,669 = 12,012.54/x
  3. Step 3: Cross multiply
    25,150.94x = 37,669 × 12,012.54
  4. Step 4: Simplify right side
    25,150.94x = 452,500,369.26
  5. Step 5: Solve for x
    x = 452,500,369.26/25,150.94
  6. Step 6: Final answer
    x = 17,991.39

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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.