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Finding the Fourth Proportional to 21,205.02, 31,820.04 and 8,068.44

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Solution

The fourth proportional to 21,205.02, 31,820.04 and 8,068.44 is: 12,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.02 : 31,820.04 = 8,068.44 : x
  2. Step 2: Convert to fraction form
    21,205.02/31,820.04 = 8,068.44/x
  3. Step 3: Cross multiply
    21,205.02x = 31,820.04 × 8,068.44
  4. Step 4: Simplify right side
    21,205.02x = 256,738,083.54
  5. Step 5: Solve for x
    x = 256,738,083.54/21,205.02
  6. Step 6: Final answer
    x = 12,107.42

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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.