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Finding the Fourth Proportional to 14,605.20, 21,906.18 and 4,216.95

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Solution

The fourth proportional to 14,605.20, 21,906.18 and 4,216.95 is: 6,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.20 : 21,906.18 = 4,216.95 : x
  2. Step 2: Convert to fraction form
    14,605.20/21,906.18 = 4,216.95/x
  3. Step 3: Cross multiply
    14,605.20x = 21,906.18 × 4,216.95
  4. Step 4: Simplify right side
    14,605.20x = 92,377,265.75
  5. Step 5: Solve for x
    x = 92,377,265.75/14,605.20
  6. Step 6: Final answer
    x = 6,324.96

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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.