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Finding the Fourth Proportional to 13,747.98, 18,914.67 and 10,598.70

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Solution

The fourth proportional to 13,747.98, 18,914.67 and 10,598.70 is: 14,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.98 : 18,914.67 = 10,598.70 : x
  2. Step 2: Convert to fraction form
    13,747.98/18,914.67 = 10,598.70/x
  3. Step 3: Cross multiply
    13,747.98x = 18,914.67 × 10,598.70
  4. Step 4: Simplify right side
    13,747.98x = 200,470,912.93
  5. Step 5: Solve for x
    x = 200,470,912.93/13,747.98
  6. Step 6: Final answer
    x = 14,581.84

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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.