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Finding the Fourth Proportional to 12,855.89, 17,741.36 and 7,820.33

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Solution

The fourth proportional to 12,855.89, 17,741.36 and 7,820.33 is: 10,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.89 : 17,741.36 = 7,820.33 : x
  2. Step 2: Convert to fraction form
    12,855.89/17,741.36 = 7,820.33/x
  3. Step 3: Cross multiply
    12,855.89x = 17,741.36 × 7,820.33
  4. Step 4: Simplify right side
    12,855.89x = 138,743,162.04
  5. Step 5: Solve for x
    x = 138,743,162.04/12,855.89
  6. Step 6: Final answer
    x = 10,792.19

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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.