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Finding the Fourth Proportional to 16,670.46, 24,978 and 11,729.73

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Solution

The fourth proportional to 16,670.46, 24,978 and 11,729.73 is: 17,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670.46 : 24,978 = 11,729.73 : x
  2. Step 2: Convert to fraction form
    16,670.46/24,978 = 11,729.73/x
  3. Step 3: Cross multiply
    16,670.46x = 24,978 × 11,729.73
  4. Step 4: Simplify right side
    16,670.46x = 292,985,195.94
  5. Step 5: Solve for x
    x = 292,985,195.94/16,670.46
  6. Step 6: Final answer
    x = 17,575.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.