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Finding the Fourth Proportional to 25,205.36, 37,808.03 and 7,675.19

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Solution

The fourth proportional to 25,205.36, 37,808.03 and 7,675.19 is: 11,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.36 : 37,808.03 = 7,675.19 : x
  2. Step 2: Convert to fraction form
    25,205.36/37,808.03 = 7,675.19/x
  3. Step 3: Cross multiply
    25,205.36x = 37,808.03 × 7,675.19
  4. Step 4: Simplify right side
    25,205.36x = 290,183,643.92
  5. Step 5: Solve for x
    x = 290,183,643.92/25,205.36
  6. Step 6: Final answer
    x = 11,512.78

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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.