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Finding the Fourth Proportional to 14,930.64, 20,604.72 and 8,216.46

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Solution

The fourth proportional to 14,930.64, 20,604.72 and 8,216.46 is: 11,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.64 : 20,604.72 = 8,216.46 : x
  2. Step 2: Convert to fraction form
    14,930.64/20,604.72 = 8,216.46/x
  3. Step 3: Cross multiply
    14,930.64x = 20,604.72 × 8,216.46
  4. Step 4: Simplify right side
    14,930.64x = 169,297,857.69
  5. Step 5: Solve for x
    x = 169,297,857.69/14,930.64
  6. Step 6: Final answer
    x = 11,338.96

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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.