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Finding the Fourth Proportional to 20,934, 31,405.62 and 6,898.35

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Solution

The fourth proportional to 20,934, 31,405.62 and 6,898.35 is: 10,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 31,405.62 = 6,898.35 : x
  2. Step 2: Convert to fraction form
    20,934/31,405.62 = 6,898.35/x
  3. Step 3: Cross multiply
    20,934x = 31,405.62 × 6,898.35
  4. Step 4: Simplify right side
    20,934x = 216,646,958.73
  5. Step 5: Solve for x
    x = 216,646,958.73/20,934
  6. Step 6: Final answer
    x = 10,349.05

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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.