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Finding the Fourth Proportional to 20,666.75, 31,000.14 and 6,815.75

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Solution

The fourth proportional to 20,666.75, 31,000.14 and 6,815.75 is: 10,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.75 : 31,000.14 = 6,815.75 : x
  2. Step 2: Convert to fraction form
    20,666.75/31,000.14 = 6,815.75/x
  3. Step 3: Cross multiply
    20,666.75x = 31,000.14 × 6,815.75
  4. Step 4: Simplify right side
    20,666.75x = 211,289,204.21
  5. Step 5: Solve for x
    x = 211,289,204.21/20,666.75
  6. Step 6: Final answer
    x = 10,223.63

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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.