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Finding the Fourth Proportional to 21,520.98, 32,274.18 and 8,190.81

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Solution

The fourth proportional to 21,520.98, 32,274.18 and 8,190.81 is: 12,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.98 : 32,274.18 = 8,190.81 : x
  2. Step 2: Convert to fraction form
    21,520.98/32,274.18 = 8,190.81/x
  3. Step 3: Cross multiply
    21,520.98x = 32,274.18 × 8,190.81
  4. Step 4: Simplify right side
    21,520.98x = 264,351,676.29
  5. Step 5: Solve for x
    x = 264,351,676.29/21,520.98
  6. Step 6: Final answer
    x = 12,283.44

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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.