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Finding the Fourth Proportional to 26,954.88, 40,432.32 and 13,092

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Solution

The fourth proportional to 26,954.88, 40,432.32 and 13,092 is: 19,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,954.88 : 40,432.32 = 13,092 : x
  2. Step 2: Convert to fraction form
    26,954.88/40,432.32 = 13,092/x
  3. Step 3: Cross multiply
    26,954.88x = 40,432.32 × 13,092
  4. Step 4: Simplify right side
    26,954.88x = 529,339,933.44
  5. Step 5: Solve for x
    x = 529,339,933.44/26,954.88
  6. Step 6: Final answer
    x = 19,638

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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.