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Finding the Fourth Proportional to 27,380.92, 41,075.42 and 8,656.70

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Solution

The fourth proportional to 27,380.92, 41,075.42 and 8,656.70 is: 12,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.92 : 41,075.42 = 8,656.70 : x
  2. Step 2: Convert to fraction form
    27,380.92/41,075.42 = 8,656.70/x
  3. Step 3: Cross multiply
    27,380.92x = 41,075.42 × 8,656.70
  4. Step 4: Simplify right side
    27,380.92x = 355,577,588.31
  5. Step 5: Solve for x
    x = 355,577,588.31/27,380.92
  6. Step 6: Final answer
    x = 12,986.33

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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.