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Finding the Fourth Proportional to 12,205.28, 18,278.76 and 10,645.22

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Solution

The fourth proportional to 12,205.28, 18,278.76 and 10,645.22 is: 15,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.28 : 18,278.76 = 10,645.22 : x
  2. Step 2: Convert to fraction form
    12,205.28/18,278.76 = 10,645.22/x
  3. Step 3: Cross multiply
    12,205.28x = 18,278.76 × 10,645.22
  4. Step 4: Simplify right side
    12,205.28x = 194,581,507.14
  5. Step 5: Solve for x
    x = 194,581,507.14/12,205.28
  6. Step 6: Final answer
    x = 15,942.40

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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.