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Finding the Fourth Proportional to 21,680, 29,923.22 and 13,180.32

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Solution

The fourth proportional to 21,680, 29,923.22 and 13,180.32 is: 18,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680 : 29,923.22 = 13,180.32 : x
  2. Step 2: Convert to fraction form
    21,680/29,923.22 = 13,180.32/x
  3. Step 3: Cross multiply
    21,680x = 29,923.22 × 13,180.32
  4. Step 4: Simplify right side
    21,680x = 394,397,615.03
  5. Step 5: Solve for x
    x = 394,397,615.03/21,680
  6. Step 6: Final answer
    x = 18,191.77

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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.