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Finding the Fourth Proportional to 12,959.21, 19,441.90 and 4,194.12

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Solution

The fourth proportional to 12,959.21, 19,441.90 and 4,194.12 is: 6,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.21 : 19,441.90 = 4,194.12 : x
  2. Step 2: Convert to fraction form
    12,959.21/19,441.90 = 4,194.12/x
  3. Step 3: Cross multiply
    12,959.21x = 19,441.90 × 4,194.12
  4. Step 4: Simplify right side
    12,959.21x = 81,541,714.31
  5. Step 5: Solve for x
    x = 81,541,714.31/12,959.21
  6. Step 6: Final answer
    x = 6,292.18

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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.