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Finding the Fourth Proportional to 16,082.64, 22,194.16 and 9,709.52

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Solution

The fourth proportional to 16,082.64, 22,194.16 and 9,709.52 is: 13,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.64 : 22,194.16 = 9,709.52 : x
  2. Step 2: Convert to fraction form
    16,082.64/22,194.16 = 9,709.52/x
  3. Step 3: Cross multiply
    16,082.64x = 22,194.16 × 9,709.52
  4. Step 4: Simplify right side
    16,082.64x = 215,494,640.40
  5. Step 5: Solve for x
    x = 215,494,640.40/16,082.64
  6. Step 6: Final answer
    x = 13,399.21

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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.