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Finding the Fourth Proportional to 14,963.49, 20,649.27 and 8,248.97

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Solution

The fourth proportional to 14,963.49, 20,649.27 and 8,248.97 is: 11,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.49 : 20,649.27 = 8,248.97 : x
  2. Step 2: Convert to fraction form
    14,963.49/20,649.27 = 8,248.97/x
  3. Step 3: Cross multiply
    14,963.49x = 20,649.27 × 8,248.97
  4. Step 4: Simplify right side
    14,963.49x = 170,335,105.51
  5. Step 5: Solve for x
    x = 170,335,105.51/14,963.49
  6. Step 6: Final answer
    x = 11,383.38

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Why These Related Problems?

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