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Finding the Fourth Proportional to 16,591.82, 22,896.70 and 9,139.82

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Solution

The fourth proportional to 16,591.82, 22,896.70 and 9,139.82 is: 12,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.82 : 22,896.70 = 9,139.82 : x
  2. Step 2: Convert to fraction form
    16,591.82/22,896.70 = 9,139.82/x
  3. Step 3: Cross multiply
    16,591.82x = 22,896.70 × 9,139.82
  4. Step 4: Simplify right side
    16,591.82x = 209,271,716.59
  5. Step 5: Solve for x
    x = 209,271,716.59/16,591.82
  6. Step 6: Final answer
    x = 12,612.95

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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.