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Finding the Fourth Proportional to 20,873.44, 31,315.02 and 6,834.16

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Solution

The fourth proportional to 20,873.44, 31,315.02 and 6,834.16 is: 10,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.44 : 31,315.02 = 6,834.16 : x
  2. Step 2: Convert to fraction form
    20,873.44/31,315.02 = 6,834.16/x
  3. Step 3: Cross multiply
    20,873.44x = 31,315.02 × 6,834.16
  4. Step 4: Simplify right side
    20,873.44x = 214,011,857.08
  5. Step 5: Solve for x
    x = 214,011,857.08/20,873.44
  6. Step 6: Final answer
    x = 10,252.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.