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Finding the Fourth Proportional to 14,370.30, 19,829.61 and 8,082.54

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Solution

The fourth proportional to 14,370.30, 19,829.61 and 8,082.54 is: 11,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.30 : 19,829.61 = 8,082.54 : x
  2. Step 2: Convert to fraction form
    14,370.30/19,829.61 = 8,082.54/x
  3. Step 3: Cross multiply
    14,370.30x = 19,829.61 × 8,082.54
  4. Step 4: Simplify right side
    14,370.30x = 160,273,616.01
  5. Step 5: Solve for x
    x = 160,273,616.01/14,370.30
  6. Step 6: Final answer
    x = 11,153.12

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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.