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Finding the Fourth Proportional to 21,872.40, 32,832.90 and 13,561.80

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Solution

The fourth proportional to 21,872.40, 32,832.90 and 13,561.80 is: 20,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.40 : 32,832.90 = 13,561.80 : x
  2. Step 2: Convert to fraction form
    21,872.40/32,832.90 = 13,561.80/x
  3. Step 3: Cross multiply
    21,872.40x = 32,832.90 × 13,561.80
  4. Step 4: Simplify right side
    21,872.40x = 445,273,223.22
  5. Step 5: Solve for x
    x = 445,273,223.22/21,872.40
  6. Step 6: Final answer
    x = 20,357.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.