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Finding the Fourth Proportional to 16,238, 22,408.44 and 8,786

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Solution

The fourth proportional to 16,238, 22,408.44 and 8,786 is: 12,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238 : 22,408.44 = 8,786 : x
  2. Step 2: Convert to fraction form
    16,238/22,408.44 = 8,786/x
  3. Step 3: Cross multiply
    16,238x = 22,408.44 × 8,786
  4. Step 4: Simplify right side
    16,238x = 196,880,553.84
  5. Step 5: Solve for x
    x = 196,880,553.84/16,238
  6. Step 6: Final answer
    x = 12,124.68

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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.