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Finding the Fourth Proportional to 13,490.92, 18,625.38 and 8,529.64

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Solution

The fourth proportional to 13,490.92, 18,625.38 and 8,529.64 is: 11,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.92 : 18,625.38 = 8,529.64 : x
  2. Step 2: Convert to fraction form
    13,490.92/18,625.38 = 8,529.64/x
  3. Step 3: Cross multiply
    13,490.92x = 18,625.38 × 8,529.64
  4. Step 4: Simplify right side
    13,490.92x = 158,867,786.26
  5. Step 5: Solve for x
    x = 158,867,786.26/13,490.92
  6. Step 6: Final answer
    x = 11,775.90

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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.