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Finding the Fourth Proportional to 26,543.48, 39,820.98 and 8,075

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Solution

The fourth proportional to 26,543.48, 39,820.98 and 8,075 is: 12,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.48 : 39,820.98 = 8,075 : x
  2. Step 2: Convert to fraction form
    26,543.48/39,820.98 = 8,075/x
  3. Step 3: Cross multiply
    26,543.48x = 39,820.98 × 8,075
  4. Step 4: Simplify right side
    26,543.48x = 321,554,413.50
  5. Step 5: Solve for x
    x = 321,554,413.50/26,543.48
  6. Step 6: Final answer
    x = 12,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.