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Finding the Fourth Proportional to 14,605.78, 21,914.62 and 6,809.80

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Solution

The fourth proportional to 14,605.78, 21,914.62 and 6,809.80 is: 10,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.78 : 21,914.62 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    14,605.78/21,914.62 = 6,809.80/x
  3. Step 3: Cross multiply
    14,605.78x = 21,914.62 × 6,809.80
  4. Step 4: Simplify right side
    14,605.78x = 149,234,179.28
  5. Step 5: Solve for x
    x = 149,234,179.28/14,605.78
  6. Step 6: Final answer
    x = 10,217.47

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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.