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Finding the Fourth Proportional to 21,190.22, 29,243.70 and 12,809.42

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Solution

The fourth proportional to 21,190.22, 29,243.70 and 12,809.42 is: 17,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.22 : 29,243.70 = 12,809.42 : x
  2. Step 2: Convert to fraction form
    21,190.22/29,243.70 = 12,809.42/x
  3. Step 3: Cross multiply
    21,190.22x = 29,243.70 × 12,809.42
  4. Step 4: Simplify right side
    21,190.22x = 374,594,835.65
  5. Step 5: Solve for x
    x = 374,594,835.65/21,190.22
  6. Step 6: Final answer
    x = 17,677.72

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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.