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Finding the Fourth Proportional to 21,198.66, 31,796.64 and 8,050.74

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Solution

The fourth proportional to 21,198.66, 31,796.64 and 8,050.74 is: 12,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.66 : 31,796.64 = 8,050.74 : x
  2. Step 2: Convert to fraction form
    21,198.66/31,796.64 = 8,050.74/x
  3. Step 3: Cross multiply
    21,198.66x = 31,796.64 × 8,050.74
  4. Step 4: Simplify right side
    21,198.66x = 255,986,481.51
  5. Step 5: Solve for x
    x = 255,986,481.51/21,198.66
  6. Step 6: Final answer
    x = 12,075.60

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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.