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Finding the Fourth Proportional to 19,193.31, 28,773.03 and 8,093.97

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Solution

The fourth proportional to 19,193.31, 28,773.03 and 8,093.97 is: 12,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,193.31 : 28,773.03 = 8,093.97 : x
  2. Step 2: Convert to fraction form
    19,193.31/28,773.03 = 8,093.97/x
  3. Step 3: Cross multiply
    19,193.31x = 28,773.03 × 8,093.97
  4. Step 4: Simplify right side
    19,193.31x = 232,888,041.63
  5. Step 5: Solve for x
    x = 232,888,041.63/19,193.31
  6. Step 6: Final answer
    x = 12,133.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.