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Finding the Fourth Proportional to 22,082.74, 30,474.97 and 12,653.12

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Solution

The fourth proportional to 22,082.74, 30,474.97 and 12,653.12 is: 17,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.74 : 30,474.97 = 12,653.12 : x
  2. Step 2: Convert to fraction form
    22,082.74/30,474.97 = 12,653.12/x
  3. Step 3: Cross multiply
    22,082.74x = 30,474.97 × 12,653.12
  4. Step 4: Simplify right side
    22,082.74x = 385,603,496.96
  5. Step 5: Solve for x
    x = 385,603,496.96/22,082.74
  6. Step 6: Final answer
    x = 17,461.76

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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.