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Finding the Fourth Proportional to 13,381.23, 18,446.87 and 9,389.97

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Solution

The fourth proportional to 13,381.23, 18,446.87 and 9,389.97 is: 12,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.23 : 18,446.87 = 9,389.97 : x
  2. Step 2: Convert to fraction form
    13,381.23/18,446.87 = 9,389.97/x
  3. Step 3: Cross multiply
    13,381.23x = 18,446.87 × 9,389.97
  4. Step 4: Simplify right side
    13,381.23x = 173,215,508.94
  5. Step 5: Solve for x
    x = 173,215,508.94/13,381.23
  6. Step 6: Final answer
    x = 12,944.66

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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.