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Finding the Fourth Proportional to 21,736.41, 29,996.37 and 12,784.29

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Solution

The fourth proportional to 21,736.41, 29,996.37 and 12,784.29 is: 17,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,736.41 : 29,996.37 = 12,784.29 : x
  2. Step 2: Convert to fraction form
    21,736.41/29,996.37 = 12,784.29/x
  3. Step 3: Cross multiply
    21,736.41x = 29,996.37 × 12,784.29
  4. Step 4: Simplify right side
    21,736.41x = 383,482,293.03
  5. Step 5: Solve for x
    x = 383,482,293.03/21,736.41
  6. Step 6: Final answer
    x = 17,642.39

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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.