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Finding the Fourth Proportional to 13,706.30, 18,914.69 and 7,418.68

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Solution

The fourth proportional to 13,706.30, 18,914.69 and 7,418.68 is: 10,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.30 : 18,914.69 = 7,418.68 : x
  2. Step 2: Convert to fraction form
    13,706.30/18,914.69 = 7,418.68/x
  3. Step 3: Cross multiply
    13,706.30x = 18,914.69 × 7,418.68
  4. Step 4: Simplify right side
    13,706.30x = 140,322,003.67
  5. Step 5: Solve for x
    x = 140,322,003.67/13,706.30
  6. Step 6: Final answer
    x = 10,237.77

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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.