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Finding the Fourth Proportional to 16,350.14, 22,562.42 and 9,082.70

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Solution

The fourth proportional to 16,350.14, 22,562.42 and 9,082.70 is: 12,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.14 : 22,562.42 = 9,082.70 : x
  2. Step 2: Convert to fraction form
    16,350.14/22,562.42 = 9,082.70/x
  3. Step 3: Cross multiply
    16,350.14x = 22,562.42 × 9,082.70
  4. Step 4: Simplify right side
    16,350.14x = 204,927,692.13
  5. Step 5: Solve for x
    x = 204,927,692.13/16,350.14
  6. Step 6: Final answer
    x = 12,533.70

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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.