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Finding the Fourth Proportional to 26,577.57, 39,866.31 and 7,857.84

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Solution

The fourth proportional to 26,577.57, 39,866.31 and 7,857.84 is: 11,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577.57 : 39,866.31 = 7,857.84 : x
  2. Step 2: Convert to fraction form
    26,577.57/39,866.31 = 7,857.84/x
  3. Step 3: Cross multiply
    26,577.57x = 39,866.31 × 7,857.84
  4. Step 4: Simplify right side
    26,577.57x = 313,263,085.37
  5. Step 5: Solve for x
    x = 313,263,085.37/26,577.57
  6. Step 6: Final answer
    x = 11,786.75

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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.