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Finding the Fourth Proportional to 15,667.38, 21,613.41 and 11,416.41

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Solution

The fourth proportional to 15,667.38, 21,613.41 and 11,416.41 is: 15,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.38 : 21,613.41 = 11,416.41 : x
  2. Step 2: Convert to fraction form
    15,667.38/21,613.41 = 11,416.41/x
  3. Step 3: Cross multiply
    15,667.38x = 21,613.41 × 11,416.41
  4. Step 4: Simplify right side
    15,667.38x = 246,747,550.06
  5. Step 5: Solve for x
    x = 246,747,550.06/15,667.38
  6. Step 6: Final answer
    x = 15,749.13

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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.