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Finding the Fourth Proportional to 19,674.99, 29,491.01 and 9,686.61

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Solution

The fourth proportional to 19,674.99, 29,491.01 and 9,686.61 is: 14,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.99 : 29,491.01 = 9,686.61 : x
  2. Step 2: Convert to fraction form
    19,674.99/29,491.01 = 9,686.61/x
  3. Step 3: Cross multiply
    19,674.99x = 29,491.01 × 9,686.61
  4. Step 4: Simplify right side
    19,674.99x = 285,667,900.27
  5. Step 5: Solve for x
    x = 285,667,900.27/19,674.99
  6. Step 6: Final answer
    x = 14,519.34

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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.