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Finding the Fourth Proportional to 12,734.72, 19,092 and 5,805.44

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Solution

The fourth proportional to 12,734.72, 19,092 and 5,805.44 is: 8,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.72 : 19,092 = 5,805.44 : x
  2. Step 2: Convert to fraction form
    12,734.72/19,092 = 5,805.44/x
  3. Step 3: Cross multiply
    12,734.72x = 19,092 × 5,805.44
  4. Step 4: Simplify right side
    12,734.72x = 110,837,460.48
  5. Step 5: Solve for x
    x = 110,837,460.48/12,734.72
  6. Step 6: Final answer
    x = 8,703.56

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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.