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Finding the Fourth Proportional to 12,842.74, 19,262.04 and 4,075.66

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Solution

The fourth proportional to 12,842.74, 19,262.04 and 4,075.66 is: 6,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.74 : 19,262.04 = 4,075.66 : x
  2. Step 2: Convert to fraction form
    12,842.74/19,262.04 = 4,075.66/x
  3. Step 3: Cross multiply
    12,842.74x = 19,262.04 × 4,075.66
  4. Step 4: Simplify right side
    12,842.74x = 78,505,525.95
  5. Step 5: Solve for x
    x = 78,505,525.95/12,842.74
  6. Step 6: Final answer
    x = 6,112.83

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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.