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Finding the Fourth Proportional to 14,514.72, 20,036.44 and 9,805.38

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Solution

The fourth proportional to 14,514.72, 20,036.44 and 9,805.38 is: 13,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.72 : 20,036.44 = 9,805.38 : x
  2. Step 2: Convert to fraction form
    14,514.72/20,036.44 = 9,805.38/x
  3. Step 3: Cross multiply
    14,514.72x = 20,036.44 × 9,805.38
  4. Step 4: Simplify right side
    14,514.72x = 196,464,859.02
  5. Step 5: Solve for x
    x = 196,464,859.02/14,514.72
  6. Step 6: Final answer
    x = 13,535.56

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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.