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Finding the Fourth Proportional to 14,517.96, 21,770.80 and 4,651.86

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Solution

The fourth proportional to 14,517.96, 21,770.80 and 4,651.86 is: 6,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.96 : 21,770.80 = 4,651.86 : x
  2. Step 2: Convert to fraction form
    14,517.96/21,770.80 = 4,651.86/x
  3. Step 3: Cross multiply
    14,517.96x = 21,770.80 × 4,651.86
  4. Step 4: Simplify right side
    14,517.96x = 101,274,690.43
  5. Step 5: Solve for x
    x = 101,274,690.43/14,517.96
  6. Step 6: Final answer
    x = 6,975.82

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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.