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Finding the Fourth Proportional to 12,850, 19,276 and 4,083.04

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Solution

The fourth proportional to 12,850, 19,276 and 4,083.04 is: 6,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850 : 19,276 = 4,083.04 : x
  2. Step 2: Convert to fraction form
    12,850/19,276 = 4,083.04/x
  3. Step 3: Cross multiply
    12,850x = 19,276 × 4,083.04
  4. Step 4: Simplify right side
    12,850x = 78,704,679.04
  5. Step 5: Solve for x
    x = 78,704,679.04/12,850
  6. Step 6: Final answer
    x = 6,124.88

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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.