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Finding the Fourth Proportional to 14,082.57, 19,433.25 and 8,115.08

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Solution

The fourth proportional to 14,082.57, 19,433.25 and 8,115.08 is: 11,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.57 : 19,433.25 = 8,115.08 : x
  2. Step 2: Convert to fraction form
    14,082.57/19,433.25 = 8,115.08/x
  3. Step 3: Cross multiply
    14,082.57x = 19,433.25 × 8,115.08
  4. Step 4: Simplify right side
    14,082.57x = 157,702,281.24
  5. Step 5: Solve for x
    x = 157,702,281.24/14,082.57
  6. Step 6: Final answer
    x = 11,198.40

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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.