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Finding the Fourth Proportional to 16,540.92, 24,814.14 and 7,665.14

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Solution

The fourth proportional to 16,540.92, 24,814.14 and 7,665.14 is: 11,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.92 : 24,814.14 = 7,665.14 : x
  2. Step 2: Convert to fraction form
    16,540.92/24,814.14 = 7,665.14/x
  3. Step 3: Cross multiply
    16,540.92x = 24,814.14 × 7,665.14
  4. Step 4: Simplify right side
    16,540.92x = 190,203,857.08
  5. Step 5: Solve for x
    x = 190,203,857.08/16,540.92
  6. Step 6: Final answer
    x = 11,498.99

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