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Finding the Fourth Proportional to 20,873.69, 31,231.91 and 14,646

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Solution

The fourth proportional to 20,873.69, 31,231.91 and 14,646 is: 21,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.69 : 31,231.91 = 14,646 : x
  2. Step 2: Convert to fraction form
    20,873.69/31,231.91 = 14,646/x
  3. Step 3: Cross multiply
    20,873.69x = 31,231.91 × 14,646
  4. Step 4: Simplify right side
    20,873.69x = 457,422,553.86
  5. Step 5: Solve for x
    x = 457,422,553.86/20,873.69
  6. Step 6: Final answer
    x = 21,913.83

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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.