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Finding the Fourth Proportional to 16,782.09, 23,157.92 and 9,882.17

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Solution

The fourth proportional to 16,782.09, 23,157.92 and 9,882.17 is: 13,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.09 : 23,157.92 = 9,882.17 : x
  2. Step 2: Convert to fraction form
    16,782.09/23,157.92 = 9,882.17/x
  3. Step 3: Cross multiply
    16,782.09x = 23,157.92 × 9,882.17
  4. Step 4: Simplify right side
    16,782.09x = 228,850,337.09
  5. Step 5: Solve for x
    x = 228,850,337.09/16,782.09
  6. Step 6: Final answer
    x = 13,636.58

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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.