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Finding the Fourth Proportional to 21,198.18, 31,801.76 and 8,050.26

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Solution

The fourth proportional to 21,198.18, 31,801.76 and 8,050.26 is: 12,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.18 : 31,801.76 = 8,050.26 : x
  2. Step 2: Convert to fraction form
    21,198.18/31,801.76 = 8,050.26/x
  3. Step 3: Cross multiply
    21,198.18x = 31,801.76 × 8,050.26
  4. Step 4: Simplify right side
    21,198.18x = 256,012,277.45
  5. Step 5: Solve for x
    x = 256,012,277.45/21,198.18
  6. Step 6: Final answer
    x = 12,077.09

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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.