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Finding the Fourth Proportional to 16,519.32, 22,796.68 and 8,965.65

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Solution

The fourth proportional to 16,519.32, 22,796.68 and 8,965.65 is: 12,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.32 : 22,796.68 = 8,965.65 : x
  2. Step 2: Convert to fraction form
    16,519.32/22,796.68 = 8,965.65/x
  3. Step 3: Cross multiply
    16,519.32x = 22,796.68 × 8,965.65
  4. Step 4: Simplify right side
    16,519.32x = 204,387,009.21
  5. Step 5: Solve for x
    x = 204,387,009.21/16,519.32
  6. Step 6: Final answer
    x = 12,372.60

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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.