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Finding the Fourth Proportional to 12,926.33, 17,845.43 and 7,822.80

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Solution

The fourth proportional to 12,926.33, 17,845.43 and 7,822.80 is: 10,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926.33 : 17,845.43 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    12,926.33/17,845.43 = 7,822.80/x
  3. Step 3: Cross multiply
    12,926.33x = 17,845.43 × 7,822.80
  4. Step 4: Simplify right side
    12,926.33x = 139,601,140.58
  5. Step 5: Solve for x
    x = 139,601,140.58/12,926.33
  6. Step 6: Final answer
    x = 10,799.75

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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.