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Finding the Fourth Proportional to 16,156.46, 22,297.92 and 9,082.88

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Solution

The fourth proportional to 16,156.46, 22,297.92 and 9,082.88 is: 12,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.46 : 22,297.92 = 9,082.88 : x
  2. Step 2: Convert to fraction form
    16,156.46/22,297.92 = 9,082.88/x
  3. Step 3: Cross multiply
    16,156.46x = 22,297.92 × 9,082.88
  4. Step 4: Simplify right side
    16,156.46x = 202,529,387.35
  5. Step 5: Solve for x
    x = 202,529,387.35/16,156.46
  6. Step 6: Final answer
    x = 12,535.51

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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.