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Finding the Fourth Proportional to 12,805.89, 17,673.29 and 7,771.39

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Solution

The fourth proportional to 12,805.89, 17,673.29 and 7,771.39 is: 10,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.89 : 17,673.29 = 7,771.39 : x
  2. Step 2: Convert to fraction form
    12,805.89/17,673.29 = 7,771.39/x
  3. Step 3: Cross multiply
    12,805.89x = 17,673.29 × 7,771.39
  4. Step 4: Simplify right side
    12,805.89x = 137,346,004.42
  5. Step 5: Solve for x
    x = 137,346,004.42/12,805.89
  6. Step 6: Final answer
    x = 10,725.22

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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.