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Finding the Fourth Proportional to 13,747.50, 18,970.39 and 8,082.43

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Solution

The fourth proportional to 13,747.50, 18,970.39 and 8,082.43 is: 11,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.50 : 18,970.39 = 8,082.43 : x
  2. Step 2: Convert to fraction form
    13,747.50/18,970.39 = 8,082.43/x
  3. Step 3: Cross multiply
    13,747.50x = 18,970.39 × 8,082.43
  4. Step 4: Simplify right side
    13,747.50x = 153,326,849.25
  5. Step 5: Solve for x
    x = 153,326,849.25/13,747.50
  6. Step 6: Final answer
    x = 11,153.07

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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.