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Finding the Fourth Proportional to 24,826.06, 37,241.82 and 7,297.26

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Solution

The fourth proportional to 24,826.06, 37,241.82 and 7,297.26 is: 10,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.06 : 37,241.82 = 7,297.26 : x
  2. Step 2: Convert to fraction form
    24,826.06/37,241.82 = 7,297.26/x
  3. Step 3: Cross multiply
    24,826.06x = 37,241.82 × 7,297.26
  4. Step 4: Simplify right side
    24,826.06x = 271,763,243.41
  5. Step 5: Solve for x
    x = 271,763,243.41/24,826.06
  6. Step 6: Final answer
    x = 10,946.69

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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.