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Finding the Fourth Proportional to 18,791.52, 25,932.32 and 10,408

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Solution

The fourth proportional to 18,791.52, 25,932.32 and 10,408 is: 14,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,791.52 : 25,932.32 = 10,408 : x
  2. Step 2: Convert to fraction form
    18,791.52/25,932.32 = 10,408/x
  3. Step 3: Cross multiply
    18,791.52x = 25,932.32 × 10,408
  4. Step 4: Simplify right side
    18,791.52x = 269,903,586.56
  5. Step 5: Solve for x
    x = 269,903,586.56/18,791.52
  6. Step 6: Final answer
    x = 14,363.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.