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Finding the Fourth Proportional to 21,026.78, 29,021.16 and 12,080.42

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Solution

The fourth proportional to 21,026.78, 29,021.16 and 12,080.42 is: 16,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.78 : 29,021.16 = 12,080.42 : x
  2. Step 2: Convert to fraction form
    21,026.78/29,021.16 = 12,080.42/x
  3. Step 3: Cross multiply
    21,026.78x = 29,021.16 × 12,080.42
  4. Step 4: Simplify right side
    21,026.78x = 350,587,801.69
  5. Step 5: Solve for x
    x = 350,587,801.69/21,026.78
  6. Step 6: Final answer
    x = 16,673.39

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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.