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Finding the Fourth Proportional to 13,763.14, 18,993.05 and 7,475.46

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Solution

The fourth proportional to 13,763.14, 18,993.05 and 7,475.46 is: 10,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.14 : 18,993.05 = 7,475.46 : x
  2. Step 2: Convert to fraction form
    13,763.14/18,993.05 = 7,475.46/x
  3. Step 3: Cross multiply
    13,763.14x = 18,993.05 × 7,475.46
  4. Step 4: Simplify right side
    13,763.14x = 141,981,785.55
  5. Step 5: Solve for x
    x = 141,981,785.55/13,763.14
  6. Step 6: Final answer
    x = 10,316.09

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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.