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Finding the Fourth Proportional to 13,618.64, 18,800.89 and 9,165.80

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Solution

The fourth proportional to 13,618.64, 18,800.89 and 9,165.80 is: 12,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.64 : 18,800.89 = 9,165.80 : x
  2. Step 2: Convert to fraction form
    13,618.64/18,800.89 = 9,165.80/x
  3. Step 3: Cross multiply
    13,618.64x = 18,800.89 × 9,165.80
  4. Step 4: Simplify right side
    13,618.64x = 172,325,197.56
  5. Step 5: Solve for x
    x = 172,325,197.56/13,618.64
  6. Step 6: Final answer
    x = 12,653.63

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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.