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Finding the Fourth Proportional to 19,278.33, 28,921.76 and 8,194.49

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Solution

The fourth proportional to 19,278.33, 28,921.76 and 8,194.49 is: 12,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278.33 : 28,921.76 = 8,194.49 : x
  2. Step 2: Convert to fraction form
    19,278.33/28,921.76 = 8,194.49/x
  3. Step 3: Cross multiply
    19,278.33x = 28,921.76 × 8,194.49
  4. Step 4: Simplify right side
    19,278.33x = 236,999,104.43
  5. Step 5: Solve for x
    x = 236,999,104.43/19,278.33
  6. Step 6: Final answer
    x = 12,293.55

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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.