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Finding the Fourth Proportional to 14,634.99, 21,952.49 and 6,849.27

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Solution

The fourth proportional to 14,634.99, 21,952.49 and 6,849.27 is: 10,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.99 : 21,952.49 = 6,849.27 : x
  2. Step 2: Convert to fraction form
    14,634.99/21,952.49 = 6,849.27/x
  3. Step 3: Cross multiply
    14,634.99x = 21,952.49 × 6,849.27
  4. Step 4: Simplify right side
    14,634.99x = 150,358,496.94
  5. Step 5: Solve for x
    x = 150,358,496.94/14,634.99
  6. Step 6: Final answer
    x = 10,273.91

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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.