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Finding the Fourth Proportional to 12,841.27, 19,261.05 and 4,075.50

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Solution

The fourth proportional to 12,841.27, 19,261.05 and 4,075.50 is: 6,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.27 : 19,261.05 = 4,075.50 : x
  2. Step 2: Convert to fraction form
    12,841.27/19,261.05 = 4,075.50/x
  3. Step 3: Cross multiply
    12,841.27x = 19,261.05 × 4,075.50
  4. Step 4: Simplify right side
    12,841.27x = 78,498,292.59
  5. Step 5: Solve for x
    x = 78,498,292.59/12,841.27
  6. Step 6: Final answer
    x = 6,112.97

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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.