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Finding the Fourth Proportional to 13,677.20, 18,874.54 and 7,389.57

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Solution

The fourth proportional to 13,677.20, 18,874.54 and 7,389.57 is: 10,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.20 : 18,874.54 = 7,389.57 : x
  2. Step 2: Convert to fraction form
    13,677.20/18,874.54 = 7,389.57/x
  3. Step 3: Cross multiply
    13,677.20x = 18,874.54 × 7,389.57
  4. Step 4: Simplify right side
    13,677.20x = 139,474,716.07
  5. Step 5: Solve for x
    x = 139,474,716.07/13,677.20
  6. Step 6: Final answer
    x = 10,197.61

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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.