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Finding the Fourth Proportional to 21,169.36, 29,214.17 and 11,609.47

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Solution

The fourth proportional to 21,169.36, 29,214.17 and 11,609.47 is: 16,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.36 : 29,214.17 = 11,609.47 : x
  2. Step 2: Convert to fraction form
    21,169.36/29,214.17 = 11,609.47/x
  3. Step 3: Cross multiply
    21,169.36x = 29,214.17 × 11,609.47
  4. Step 4: Simplify right side
    21,169.36x = 339,161,030.19
  5. Step 5: Solve for x
    x = 339,161,030.19/21,169.36
  6. Step 6: Final answer
    x = 16,021.32

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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.