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Finding the Fourth Proportional to 21,625.38, 29,842.56 and 12,194.28

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Solution

The fourth proportional to 21,625.38, 29,842.56 and 12,194.28 is: 16,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,625.38 : 29,842.56 = 12,194.28 : x
  2. Step 2: Convert to fraction form
    21,625.38/29,842.56 = 12,194.28/x
  3. Step 3: Cross multiply
    21,625.38x = 29,842.56 × 12,194.28
  4. Step 4: Simplify right side
    21,625.38x = 363,908,532.56
  5. Step 5: Solve for x
    x = 363,908,532.56/21,625.38
  6. Step 6: Final answer
    x = 16,827.84

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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.