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Finding the Fourth Proportional to 16,238.83, 22,409.17 and 9,165.21

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Solution

The fourth proportional to 16,238.83, 22,409.17 and 9,165.21 is: 12,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.83 : 22,409.17 = 9,165.21 : x
  2. Step 2: Convert to fraction form
    16,238.83/22,409.17 = 9,165.21/x
  3. Step 3: Cross multiply
    16,238.83x = 22,409.17 × 9,165.21
  4. Step 4: Simplify right side
    16,238.83x = 205,384,748.98
  5. Step 5: Solve for x
    x = 205,384,748.98/16,238.83
  6. Step 6: Final answer
    x = 12,647.76

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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.