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Finding the Fourth Proportional to 12,725.60, 19,085.34 and 3,839.09

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Solution

The fourth proportional to 12,725.60, 19,085.34 and 3,839.09 is: 5,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.60 : 19,085.34 = 3,839.09 : x
  2. Step 2: Convert to fraction form
    12,725.60/19,085.34 = 3,839.09/x
  3. Step 3: Cross multiply
    12,725.60x = 19,085.34 × 3,839.09
  4. Step 4: Simplify right side
    12,725.60x = 73,270,242.51
  5. Step 5: Solve for x
    x = 73,270,242.51/12,725.60
  6. Step 6: Final answer
    x = 5,757.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.