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Finding the Fourth Proportional to 12,880.36, 17,772.33 and 7,841.22

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Solution

The fourth proportional to 12,880.36, 17,772.33 and 7,841.22 is: 10,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.36 : 17,772.33 = 7,841.22 : x
  2. Step 2: Convert to fraction form
    12,880.36/17,772.33 = 7,841.22/x
  3. Step 3: Cross multiply
    12,880.36x = 17,772.33 × 7,841.22
  4. Step 4: Simplify right side
    12,880.36x = 139,356,749.44
  5. Step 5: Solve for x
    x = 139,356,749.44/12,880.36
  6. Step 6: Final answer
    x = 10,819.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.