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Finding the Fourth Proportional to 13,467.80, 18,588.16 and 8,165.52

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Solution

The fourth proportional to 13,467.80, 18,588.16 and 8,165.52 is: 11,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.80 : 18,588.16 = 8,165.52 : x
  2. Step 2: Convert to fraction form
    13,467.80/18,588.16 = 8,165.52/x
  3. Step 3: Cross multiply
    13,467.80x = 18,588.16 × 8,165.52
  4. Step 4: Simplify right side
    13,467.80x = 151,781,992.24
  5. Step 5: Solve for x
    x = 151,781,992.24/13,467.80
  6. Step 6: Final answer
    x = 11,269.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.