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Finding the Fourth Proportional to 15,668.43, 23,514 and 5,809.11

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Solution

The fourth proportional to 15,668.43, 23,514 and 5,809.11 is: 8,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668.43 : 23,514 = 5,809.11 : x
  2. Step 2: Convert to fraction form
    15,668.43/23,514 = 5,809.11/x
  3. Step 3: Cross multiply
    15,668.43x = 23,514 × 5,809.11
  4. Step 4: Simplify right side
    15,668.43x = 136,595,412.54
  5. Step 5: Solve for x
    x = 136,595,412.54/15,668.43
  6. Step 6: Final answer
    x = 8,717.87

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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.