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Finding the Fourth Proportional to 16,016.34, 22,103.64 and 8,942.61

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Solution

The fourth proportional to 16,016.34, 22,103.64 and 8,942.61 is: 12,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016.34 : 22,103.64 = 8,942.61 : x
  2. Step 2: Convert to fraction form
    16,016.34/22,103.64 = 8,942.61/x
  3. Step 3: Cross multiply
    16,016.34x = 22,103.64 × 8,942.61
  4. Step 4: Simplify right side
    16,016.34x = 197,664,232.10
  5. Step 5: Solve for x
    x = 197,664,232.10/16,016.34
  6. Step 6: Final answer
    x = 12,341.41

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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.