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Finding the Fourth Proportional to 21,101.25, 29,122.48 and 12,149.13

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Solution

The fourth proportional to 21,101.25, 29,122.48 and 12,149.13 is: 16,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.25 : 29,122.48 = 12,149.13 : x
  2. Step 2: Convert to fraction form
    21,101.25/29,122.48 = 12,149.13/x
  3. Step 3: Cross multiply
    21,101.25x = 29,122.48 × 12,149.13
  4. Step 4: Simplify right side
    21,101.25x = 353,812,795.44
  5. Step 5: Solve for x
    x = 353,812,795.44/21,101.25
  6. Step 6: Final answer
    x = 16,767.39

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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.