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Finding the Fourth Proportional to 14,963.74, 20,649.70 and 8,249.33

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Solution

The fourth proportional to 14,963.74, 20,649.70 and 8,249.33 is: 11,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.74 : 20,649.70 = 8,249.33 : x
  2. Step 2: Convert to fraction form
    14,963.74/20,649.70 = 8,249.33/x
  3. Step 3: Cross multiply
    14,963.74x = 20,649.70 × 8,249.33
  4. Step 4: Simplify right side
    14,963.74x = 170,346,189.70
  5. Step 5: Solve for x
    x = 170,346,189.70/14,963.74
  6. Step 6: Final answer
    x = 11,383.93

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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.