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Finding the Fourth Proportional to 25,205.77, 37,814.37 and 7,676.95

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Solution

The fourth proportional to 25,205.77, 37,814.37 and 7,676.95 is: 11,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.77 : 37,814.37 = 7,676.95 : x
  2. Step 2: Convert to fraction form
    25,205.77/37,814.37 = 7,676.95/x
  3. Step 3: Cross multiply
    25,205.77x = 37,814.37 × 7,676.95
  4. Step 4: Simplify right side
    25,205.77x = 290,299,027.77
  5. Step 5: Solve for x
    x = 290,299,027.77/25,205.77
  6. Step 6: Final answer
    x = 11,517.17

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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.