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Finding the Fourth Proportional to 14,651.48, 20,219.42 and 8,682.19

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Solution

The fourth proportional to 14,651.48, 20,219.42 and 8,682.19 is: 11,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.48 : 20,219.42 = 8,682.19 : x
  2. Step 2: Convert to fraction form
    14,651.48/20,219.42 = 8,682.19/x
  3. Step 3: Cross multiply
    14,651.48x = 20,219.42 × 8,682.19
  4. Step 4: Simplify right side
    14,651.48x = 175,548,817.29
  5. Step 5: Solve for x
    x = 175,548,817.29/14,651.48
  6. Step 6: Final answer
    x = 11,981.64

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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.