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Finding the Fourth Proportional to 21,164.92, 29,206.17 and 12,212.80

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Solution

The fourth proportional to 21,164.92, 29,206.17 and 12,212.80 is: 16,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.92 : 29,206.17 = 12,212.80 : x
  2. Step 2: Convert to fraction form
    21,164.92/29,206.17 = 12,212.80/x
  3. Step 3: Cross multiply
    21,164.92x = 29,206.17 × 12,212.80
  4. Step 4: Simplify right side
    21,164.92x = 356,689,112.98
  5. Step 5: Solve for x
    x = 356,689,112.98/21,164.92
  6. Step 6: Final answer
    x = 16,852.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.