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Finding the Fourth Proportional to 13,942.97, 20,913.44 and 4,582.88

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Solution

The fourth proportional to 13,942.97, 20,913.44 and 4,582.88 is: 6,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.97 : 20,913.44 = 4,582.88 : x
  2. Step 2: Convert to fraction form
    13,942.97/20,913.44 = 4,582.88/x
  3. Step 3: Cross multiply
    13,942.97x = 20,913.44 × 4,582.88
  4. Step 4: Simplify right side
    13,942.97x = 95,843,658.43
  5. Step 5: Solve for x
    x = 95,843,658.43/13,942.97
  6. Step 6: Final answer
    x = 6,873.98

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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.