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Finding the Fourth Proportional to 14,604.63, 21,910.65 and 4,216.38

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Solution

The fourth proportional to 14,604.63, 21,910.65 and 4,216.38 is: 6,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.63 : 21,910.65 = 4,216.38 : x
  2. Step 2: Convert to fraction form
    14,604.63/21,910.65 = 4,216.38/x
  3. Step 3: Cross multiply
    14,604.63x = 21,910.65 × 4,216.38
  4. Step 4: Simplify right side
    14,604.63x = 92,383,626.45
  5. Step 5: Solve for x
    x = 92,383,626.45/14,604.63
  6. Step 6: Final answer
    x = 6,325.64

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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.