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Finding the Fourth Proportional to 14,517.66, 21,774.76 and 6,518.37

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Solution

The fourth proportional to 14,517.66, 21,774.76 and 6,518.37 is: 9,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.66 : 21,774.76 = 6,518.37 : x
  2. Step 2: Convert to fraction form
    14,517.66/21,774.76 = 6,518.37/x
  3. Step 3: Cross multiply
    14,517.66x = 21,774.76 × 6,518.37
  4. Step 4: Simplify right side
    14,517.66x = 141,936,007.70
  5. Step 5: Solve for x
    x = 141,936,007.70/14,517.66
  6. Step 6: Final answer
    x = 9,776.78

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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.