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Finding the Fourth Proportional to 20,673.84, 30,986.12 and 14,399.86

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Solution

The fourth proportional to 20,673.84, 30,986.12 and 14,399.86 is: 21,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.84 : 30,986.12 = 14,399.86 : x
  2. Step 2: Convert to fraction form
    20,673.84/30,986.12 = 14,399.86/x
  3. Step 3: Cross multiply
    20,673.84x = 30,986.12 × 14,399.86
  4. Step 4: Simplify right side
    20,673.84x = 446,195,789.94
  5. Step 5: Solve for x
    x = 446,195,789.94/20,673.84
  6. Step 6: Final answer
    x = 21,582.63

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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.