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Finding the Fourth Proportional to 13,676.81, 18,874.01 and 7,389.19

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Solution

The fourth proportional to 13,676.81, 18,874.01 and 7,389.19 is: 10,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.81 : 18,874.01 = 7,389.19 : x
  2. Step 2: Convert to fraction form
    13,676.81/18,874.01 = 7,389.19/x
  3. Step 3: Cross multiply
    13,676.81x = 18,874.01 × 7,389.19
  4. Step 4: Simplify right side
    13,676.81x = 139,463,645.95
  5. Step 5: Solve for x
    x = 139,463,645.95/13,676.81
  6. Step 6: Final answer
    x = 10,197.09

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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.