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Finding the Fourth Proportional to 13,496.37, 18,624.11 and 8,460.38

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Solution

The fourth proportional to 13,496.37, 18,624.11 and 8,460.38 is: 11,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.37 : 18,624.11 = 8,460.38 : x
  2. Step 2: Convert to fraction form
    13,496.37/18,624.11 = 8,460.38/x
  3. Step 3: Cross multiply
    13,496.37x = 18,624.11 × 8,460.38
  4. Step 4: Simplify right side
    13,496.37x = 157,566,912.34
  5. Step 5: Solve for x
    x = 157,566,912.34/13,496.37
  6. Step 6: Final answer
    x = 11,674.76

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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.