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Finding the Fourth Proportional to 16,832, 25,261.68 and 14,382.56

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Solution

The fourth proportional to 16,832, 25,261.68 and 14,382.56 is: 21,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832 : 25,261.68 = 14,382.56 : x
  2. Step 2: Convert to fraction form
    16,832/25,261.68 = 14,382.56/x
  3. Step 3: Cross multiply
    16,832x = 25,261.68 × 14,382.56
  4. Step 4: Simplify right side
    16,832x = 363,327,628.30
  5. Step 5: Solve for x
    x = 363,327,628.30/16,832
  6. Step 6: Final answer
    x = 21,585.53

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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.