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Finding the Fourth Proportional to 16,481.40, 24,696.17 and 12,742.31

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Solution

The fourth proportional to 16,481.40, 24,696.17 and 12,742.31 is: 19,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.40 : 24,696.17 = 12,742.31 : x
  2. Step 2: Convert to fraction form
    16,481.40/24,696.17 = 12,742.31/x
  3. Step 3: Cross multiply
    16,481.40x = 24,696.17 × 12,742.31
  4. Step 4: Simplify right side
    16,481.40x = 314,686,263.93
  5. Step 5: Solve for x
    x = 314,686,263.93/16,481.40
  6. Step 6: Final answer
    x = 19,093.42

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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.