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Finding the Fourth Proportional to 12,519.44, 17,269.36 and 7,802.80

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Solution

The fourth proportional to 12,519.44, 17,269.36 and 7,802.80 is: 10,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519.44 : 17,269.36 = 7,802.80 : x
  2. Step 2: Convert to fraction form
    12,519.44/17,269.36 = 7,802.80/x
  3. Step 3: Cross multiply
    12,519.44x = 17,269.36 × 7,802.80
  4. Step 4: Simplify right side
    12,519.44x = 134,749,362.21
  5. Step 5: Solve for x
    x = 134,749,362.21/12,519.44
  6. Step 6: Final answer
    x = 10,763.21

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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.