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Finding the Fourth Proportional to 16,591.98, 22,896.69 and 9,518.22

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Solution

The fourth proportional to 16,591.98, 22,896.69 and 9,518.22 is: 13,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.98 : 22,896.69 = 9,518.22 : x
  2. Step 2: Convert to fraction form
    16,591.98/22,896.69 = 9,518.22/x
  3. Step 3: Cross multiply
    16,591.98x = 22,896.69 × 9,518.22
  4. Step 4: Simplify right side
    16,591.98x = 217,935,732.69
  5. Step 5: Solve for x
    x = 217,935,732.69/16,591.98
  6. Step 6: Final answer
    x = 13,135.00

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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.