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Finding the Fourth Proportional to 20,986.64, 31,479.96 and 6,942.90

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Solution

The fourth proportional to 20,986.64, 31,479.96 and 6,942.90 is: 10,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.64 : 31,479.96 = 6,942.90 : x
  2. Step 2: Convert to fraction form
    20,986.64/31,479.96 = 6,942.90/x
  3. Step 3: Cross multiply
    20,986.64x = 31,479.96 × 6,942.90
  4. Step 4: Simplify right side
    20,986.64x = 218,562,214.28
  5. Step 5: Solve for x
    x = 218,562,214.28/20,986.64
  6. Step 6: Final answer
    x = 10,414.35

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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.