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Finding the Fourth Proportional to 13,553.34, 18,705.78 and 8,247.24

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Solution

The fourth proportional to 13,553.34, 18,705.78 and 8,247.24 is: 11,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.34 : 18,705.78 = 8,247.24 : x
  2. Step 2: Convert to fraction form
    13,553.34/18,705.78 = 8,247.24/x
  3. Step 3: Cross multiply
    13,553.34x = 18,705.78 × 8,247.24
  4. Step 4: Simplify right side
    13,553.34x = 154,271,057.05
  5. Step 5: Solve for x
    x = 154,271,057.05/13,553.34
  6. Step 6: Final answer
    x = 11,382.51

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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.