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Finding the Fourth Proportional to 26,574.85, 39,866.58 and 7,856.77

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Solution

The fourth proportional to 26,574.85, 39,866.58 and 7,856.77 is: 11,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574.85 : 39,866.58 = 7,856.77 : x
  2. Step 2: Convert to fraction form
    26,574.85/39,866.58 = 7,856.77/x
  3. Step 3: Cross multiply
    26,574.85x = 39,866.58 × 7,856.77
  4. Step 4: Simplify right side
    26,574.85x = 313,222,549.75
  5. Step 5: Solve for x
    x = 313,222,549.75/26,574.85
  6. Step 6: Final answer
    x = 11,786.43

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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.