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Finding the Fourth Proportional to 10,213.20, 15,294.20 and 8,165.20

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Solution

The fourth proportional to 10,213.20, 15,294.20 and 8,165.20 is: 12,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.20 : 15,294.20 = 8,165.20 : x
  2. Step 2: Convert to fraction form
    10,213.20/15,294.20 = 8,165.20/x
  3. Step 3: Cross multiply
    10,213.20x = 15,294.20 × 8,165.20
  4. Step 4: Simplify right side
    10,213.20x = 124,880,201.84
  5. Step 5: Solve for x
    x = 124,880,201.84/10,213.20
  6. Step 6: Final answer
    x = 12,227.33

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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.