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Finding the Fourth Proportional to 12,234.46, 16,884.60 and 6,930.22

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Solution

The fourth proportional to 12,234.46, 16,884.60 and 6,930.22 is: 9,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.46 : 16,884.60 = 6,930.22 : x
  2. Step 2: Convert to fraction form
    12,234.46/16,884.60 = 6,930.22/x
  3. Step 3: Cross multiply
    12,234.46x = 16,884.60 × 6,930.22
  4. Step 4: Simplify right side
    12,234.46x = 117,013,992.61
  5. Step 5: Solve for x
    x = 117,013,992.61/12,234.46
  6. Step 6: Final answer
    x = 9,564.30

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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.