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Finding the Fourth Proportional to 21,722.56, 29,970.16 and 12,161.04

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Solution

The fourth proportional to 21,722.56, 29,970.16 and 12,161.04 is: 16,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.56 : 29,970.16 = 12,161.04 : x
  2. Step 2: Convert to fraction form
    21,722.56/29,970.16 = 12,161.04/x
  3. Step 3: Cross multiply
    21,722.56x = 29,970.16 × 12,161.04
  4. Step 4: Simplify right side
    21,722.56x = 364,468,314.57
  5. Step 5: Solve for x
    x = 364,468,314.57/21,722.56
  6. Step 6: Final answer
    x = 16,778.33

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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.