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Finding the Fourth Proportional to 14,964.30, 20,649.81 and 8,249.58

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Solution

The fourth proportional to 14,964.30, 20,649.81 and 8,249.58 is: 11,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.30 : 20,649.81 = 8,249.58 : x
  2. Step 2: Convert to fraction form
    14,964.30/20,649.81 = 8,249.58/x
  3. Step 3: Cross multiply
    14,964.30x = 20,649.81 × 8,249.58
  4. Step 4: Simplify right side
    14,964.30x = 170,352,259.58
  5. Step 5: Solve for x
    x = 170,352,259.58/14,964.30
  6. Step 6: Final answer
    x = 11,383.91

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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.