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Finding the Fourth Proportional to 21,770.28, 32,651.10 and 10,672.20

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Solution

The fourth proportional to 21,770.28, 32,651.10 and 10,672.20 is: 16,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.28 : 32,651.10 = 10,672.20 : x
  2. Step 2: Convert to fraction form
    21,770.28/32,651.10 = 10,672.20/x
  3. Step 3: Cross multiply
    21,770.28x = 32,651.10 × 10,672.20
  4. Step 4: Simplify right side
    21,770.28x = 348,459,069.42
  5. Step 5: Solve for x
    x = 348,459,069.42/21,770.28
  6. Step 6: Final answer
    x = 16,006.18

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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.