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Finding the Fourth Proportional to 12,876.89, 19,278.85 and 8,185.23

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Solution

The fourth proportional to 12,876.89, 19,278.85 and 8,185.23 is: 12,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.89 : 19,278.85 = 8,185.23 : x
  2. Step 2: Convert to fraction form
    12,876.89/19,278.85 = 8,185.23/x
  3. Step 3: Cross multiply
    12,876.89x = 19,278.85 × 8,185.23
  4. Step 4: Simplify right side
    12,876.89x = 157,801,849.12
  5. Step 5: Solve for x
    x = 157,801,849.12/12,876.89
  6. Step 6: Final answer
    x = 12,254.66

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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.