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Finding the Fourth Proportional to 19,863.14, 29,767.02 and 14,927.01

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Solution

The fourth proportional to 19,863.14, 29,767.02 and 14,927.01 is: 22,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.14 : 29,767.02 = 14,927.01 : x
  2. Step 2: Convert to fraction form
    19,863.14/29,767.02 = 14,927.01/x
  3. Step 3: Cross multiply
    19,863.14x = 29,767.02 × 14,927.01
  4. Step 4: Simplify right side
    19,863.14x = 444,332,605.21
  5. Step 5: Solve for x
    x = 444,332,605.21/19,863.14
  6. Step 6: Final answer
    x = 22,369.71

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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.