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Finding the Fourth Proportional to 26,193.48, 39,290.46 and 7,725.48

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Solution

The fourth proportional to 26,193.48, 39,290.46 and 7,725.48 is: 11,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,193.48 : 39,290.46 = 7,725.48 : x
  2. Step 2: Convert to fraction form
    26,193.48/39,290.46 = 7,725.48/x
  3. Step 3: Cross multiply
    26,193.48x = 39,290.46 × 7,725.48
  4. Step 4: Simplify right side
    26,193.48x = 303,537,662.92
  5. Step 5: Solve for x
    x = 303,537,662.92/26,193.48
  6. Step 6: Final answer
    x = 11,588.29

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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.