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Finding the Fourth Proportional to 16,691.44, 23,034.12 and 9,137.80

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Solution

The fourth proportional to 16,691.44, 23,034.12 and 9,137.80 is: 12,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.44 : 23,034.12 = 9,137.80 : x
  2. Step 2: Convert to fraction form
    16,691.44/23,034.12 = 9,137.80/x
  3. Step 3: Cross multiply
    16,691.44x = 23,034.12 × 9,137.80
  4. Step 4: Simplify right side
    16,691.44x = 210,481,181.74
  5. Step 5: Solve for x
    x = 210,481,181.74/16,691.44
  6. Step 6: Final answer
    x = 12,610.13

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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.