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Finding the Fourth Proportional to 26,543.98, 39,821.73 and 8,075.50

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Solution

The fourth proportional to 26,543.98, 39,821.73 and 8,075.50 is: 12,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.98 : 39,821.73 = 8,075.50 : x
  2. Step 2: Convert to fraction form
    26,543.98/39,821.73 = 8,075.50/x
  3. Step 3: Cross multiply
    26,543.98x = 39,821.73 × 8,075.50
  4. Step 4: Simplify right side
    26,543.98x = 321,580,380.62
  5. Step 5: Solve for x
    x = 321,580,380.62/26,543.98
  6. Step 6: Final answer
    x = 12,115.00

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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.