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Finding the Fourth Proportional to 16,204.14, 24,290.06 and 6,846.51

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Solution

The fourth proportional to 16,204.14, 24,290.06 and 6,846.51 is: 10,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.14 : 24,290.06 = 6,846.51 : x
  2. Step 2: Convert to fraction form
    16,204.14/24,290.06 = 6,846.51/x
  3. Step 3: Cross multiply
    16,204.14x = 24,290.06 × 6,846.51
  4. Step 4: Simplify right side
    16,204.14x = 166,302,138.69
  5. Step 5: Solve for x
    x = 166,302,138.69/16,204.14
  6. Step 6: Final answer
    x = 10,262.94

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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.