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Finding the Fourth Proportional to 14,537.64, 20,062.71 and 8,249.88

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Solution

The fourth proportional to 14,537.64, 20,062.71 and 8,249.88 is: 11,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.64 : 20,062.71 = 8,249.88 : x
  2. Step 2: Convert to fraction form
    14,537.64/20,062.71 = 8,249.88/x
  3. Step 3: Cross multiply
    14,537.64x = 20,062.71 × 8,249.88
  4. Step 4: Simplify right side
    14,537.64x = 165,514,949.97
  5. Step 5: Solve for x
    x = 165,514,949.97/14,537.64
  6. Step 6: Final answer
    x = 11,385.27

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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.