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Finding the Fourth Proportional to 16,697.76, 23,042.92 and 9,245.76

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Solution

The fourth proportional to 16,697.76, 23,042.92 and 9,245.76 is: 12,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.76 : 23,042.92 = 9,245.76 : x
  2. Step 2: Convert to fraction form
    16,697.76/23,042.92 = 9,245.76/x
  3. Step 3: Cross multiply
    16,697.76x = 23,042.92 × 9,245.76
  4. Step 4: Simplify right side
    16,697.76x = 213,049,308.02
  5. Step 5: Solve for x
    x = 213,049,308.02/16,697.76
  6. Step 6: Final answer
    x = 12,759.16

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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.