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Finding the Fourth Proportional to 13,308, 18,372.24 and 8,004

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Solution

The fourth proportional to 13,308, 18,372.24 and 8,004 is: 11,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308 : 18,372.24 = 8,004 : x
  2. Step 2: Convert to fraction form
    13,308/18,372.24 = 8,004/x
  3. Step 3: Cross multiply
    13,308x = 18,372.24 × 8,004
  4. Step 4: Simplify right side
    13,308x = 147,051,408.96
  5. Step 5: Solve for x
    x = 147,051,408.96/13,308
  6. Step 6: Final answer
    x = 11,049.85

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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.