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Finding the Fourth Proportional to 13,427.12, 18,534.59 and 8,949.24

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Solution

The fourth proportional to 13,427.12, 18,534.59 and 8,949.24 is: 12,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.12 : 18,534.59 = 8,949.24 : x
  2. Step 2: Convert to fraction form
    13,427.12/18,534.59 = 8,949.24/x
  3. Step 3: Cross multiply
    13,427.12x = 18,534.59 × 8,949.24
  4. Step 4: Simplify right side
    13,427.12x = 165,870,401.54
  5. Step 5: Solve for x
    x = 165,870,401.54/13,427.12
  6. Step 6: Final answer
    x = 12,353.39

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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.