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Finding the Fourth Proportional to 14,369.75, 19,830.26 and 8,082.26

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Solution

The fourth proportional to 14,369.75, 19,830.26 and 8,082.26 is: 11,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.75 : 19,830.26 = 8,082.26 : x
  2. Step 2: Convert to fraction form
    14,369.75/19,830.26 = 8,082.26/x
  3. Step 3: Cross multiply
    14,369.75x = 19,830.26 × 8,082.26
  4. Step 4: Simplify right side
    14,369.75x = 160,273,317.19
  5. Step 5: Solve for x
    x = 160,273,317.19/14,369.75
  6. Step 6: Final answer
    x = 11,153.52

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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.