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Finding the Fourth Proportional to 22,521.64, 31,072.26 and 13,082.44

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Solution

The fourth proportional to 22,521.64, 31,072.26 and 13,082.44 is: 18,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.64 : 31,072.26 = 13,082.44 : x
  2. Step 2: Convert to fraction form
    22,521.64/31,072.26 = 13,082.44/x
  3. Step 3: Cross multiply
    22,521.64x = 31,072.26 × 13,082.44
  4. Step 4: Simplify right side
    22,521.64x = 406,500,977.11
  5. Step 5: Solve for x
    x = 406,500,977.11/22,521.64
  6. Step 6: Final answer
    x = 18,049.35

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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.