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Finding the Fourth Proportional to 13,706.73, 18,889.77 and 10,717.83

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Solution

The fourth proportional to 13,706.73, 18,889.77 and 10,717.83 is: 14,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.73 : 18,889.77 = 10,717.83 : x
  2. Step 2: Convert to fraction form
    13,706.73/18,889.77 = 10,717.83/x
  3. Step 3: Cross multiply
    13,706.73x = 18,889.77 × 10,717.83
  4. Step 4: Simplify right side
    13,706.73x = 202,457,343.60
  5. Step 5: Solve for x
    x = 202,457,343.60/13,706.73
  6. Step 6: Final answer
    x = 14,770.65

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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.