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Finding the Fourth Proportional to 14,964.06, 20,649.45 and 8,249.31

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Solution

The fourth proportional to 14,964.06, 20,649.45 and 8,249.31 is: 11,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.06 : 20,649.45 = 8,249.31 : x
  2. Step 2: Convert to fraction form
    14,964.06/20,649.45 = 8,249.31/x
  3. Step 3: Cross multiply
    14,964.06x = 20,649.45 × 8,249.31
  4. Step 4: Simplify right side
    14,964.06x = 170,343,714.38
  5. Step 5: Solve for x
    x = 170,343,714.38/14,964.06
  6. Step 6: Final answer
    x = 11,383.52

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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.