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Finding the Fourth Proportional to 22,514.64, 31,063.41 and 13,081.38

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Solution

The fourth proportional to 22,514.64, 31,063.41 and 13,081.38 is: 18,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.64 : 31,063.41 = 13,081.38 : x
  2. Step 2: Convert to fraction form
    22,514.64/31,063.41 = 13,081.38/x
  3. Step 3: Cross multiply
    22,514.64x = 31,063.41 × 13,081.38
  4. Step 4: Simplify right side
    22,514.64x = 406,352,270.31
  5. Step 5: Solve for x
    x = 406,352,270.31/22,514.64
  6. Step 6: Final answer
    x = 18,048.36

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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.