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Finding the Fourth Proportional to 16,500.32, 22,773.38 and 12,514.72

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Solution

The fourth proportional to 16,500.32, 22,773.38 and 12,514.72 is: 17,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.32 : 22,773.38 = 12,514.72 : x
  2. Step 2: Convert to fraction form
    16,500.32/22,773.38 = 12,514.72/x
  3. Step 3: Cross multiply
    16,500.32x = 22,773.38 × 12,514.72
  4. Step 4: Simplify right side
    16,500.32x = 285,002,474.15
  5. Step 5: Solve for x
    x = 285,002,474.15/16,500.32
  6. Step 6: Final answer
    x = 17,272.54

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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.