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Finding the Fourth Proportional to 14,651.38, 20,218.92 and 8,686

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Solution

The fourth proportional to 14,651.38, 20,218.92 and 8,686 is: 11,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.38 : 20,218.92 = 8,686 : x
  2. Step 2: Convert to fraction form
    14,651.38/20,218.92 = 8,686/x
  3. Step 3: Cross multiply
    14,651.38x = 20,218.92 × 8,686
  4. Step 4: Simplify right side
    14,651.38x = 175,621,539.12
  5. Step 5: Solve for x
    x = 175,621,539.12/14,651.38
  6. Step 6: Final answer
    x = 11,986.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.