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Finding the Fourth Proportional to 12,563.49, 17,343.27 and 9,206.45

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Solution

The fourth proportional to 12,563.49, 17,343.27 and 9,206.45 is: 12,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.49 : 17,343.27 = 9,206.45 : x
  2. Step 2: Convert to fraction form
    12,563.49/17,343.27 = 9,206.45/x
  3. Step 3: Cross multiply
    12,563.49x = 17,343.27 × 9,206.45
  4. Step 4: Simplify right side
    12,563.49x = 159,669,861.38
  5. Step 5: Solve for x
    x = 159,669,861.38/12,563.49
  6. Step 6: Final answer
    x = 12,709.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.