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Finding the Fourth Proportional to 22,963.82, 34,412.87 and 13,082.70

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Solution

The fourth proportional to 22,963.82, 34,412.87 and 13,082.70 is: 19,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.82 : 34,412.87 = 13,082.70 : x
  2. Step 2: Convert to fraction form
    22,963.82/34,412.87 = 13,082.70/x
  3. Step 3: Cross multiply
    22,963.82x = 34,412.87 × 13,082.70
  4. Step 4: Simplify right side
    22,963.82x = 450,213,188.94
  5. Step 5: Solve for x
    x = 450,213,188.94/22,963.82
  6. Step 6: Final answer
    x = 19,605.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.