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Finding the Fourth Proportional to 16,768.98, 23,140.17 and 9,213.84

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Solution

The fourth proportional to 16,768.98, 23,140.17 and 9,213.84 is: 12,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.98 : 23,140.17 = 9,213.84 : x
  2. Step 2: Convert to fraction form
    16,768.98/23,140.17 = 9,213.84/x
  3. Step 3: Cross multiply
    16,768.98x = 23,140.17 × 9,213.84
  4. Step 4: Simplify right side
    16,768.98x = 213,209,823.95
  5. Step 5: Solve for x
    x = 213,209,823.95/16,768.98
  6. Step 6: Final answer
    x = 12,714.54

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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.