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Finding the Fourth Proportional to 16,830.88, 23,221.20 and 9,377.44

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Solution

The fourth proportional to 16,830.88, 23,221.20 and 9,377.44 is: 12,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.88 : 23,221.20 = 9,377.44 : x
  2. Step 2: Convert to fraction form
    16,830.88/23,221.20 = 9,377.44/x
  3. Step 3: Cross multiply
    16,830.88x = 23,221.20 × 9,377.44
  4. Step 4: Simplify right side
    16,830.88x = 217,755,409.73
  5. Step 5: Solve for x
    x = 217,755,409.73/16,830.88
  6. Step 6: Final answer
    x = 12,937.85

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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.