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Finding the Fourth Proportional to 14,082.87, 19,433.97 and 8,032.98

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Solution

The fourth proportional to 14,082.87, 19,433.97 and 8,032.98 is: 11,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.87 : 19,433.97 = 8,032.98 : x
  2. Step 2: Convert to fraction form
    14,082.87/19,433.97 = 8,032.98/x
  3. Step 3: Cross multiply
    14,082.87x = 19,433.97 × 8,032.98
  4. Step 4: Simplify right side
    14,082.87x = 156,112,692.33
  5. Step 5: Solve for x
    x = 156,112,692.33/14,082.87
  6. Step 6: Final answer
    x = 11,085.29

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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.