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Finding the Fourth Proportional to 14,921.11, 20,590.61 and 8,206.31

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Solution

The fourth proportional to 14,921.11, 20,590.61 and 8,206.31 is: 11,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.11 : 20,590.61 = 8,206.31 : x
  2. Step 2: Convert to fraction form
    14,921.11/20,590.61 = 8,206.31/x
  3. Step 3: Cross multiply
    14,921.11x = 20,590.61 × 8,206.31
  4. Step 4: Simplify right side
    14,921.11x = 168,972,939.19
  5. Step 5: Solve for x
    x = 168,972,939.19/14,921.11
  6. Step 6: Final answer
    x = 11,324.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.