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Finding the Fourth Proportional to 13,119.67, 18,107.03 and 7,814.57

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Solution

The fourth proportional to 13,119.67, 18,107.03 and 7,814.57 is: 10,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.67 : 18,107.03 = 7,814.57 : x
  2. Step 2: Convert to fraction form
    13,119.67/18,107.03 = 7,814.57/x
  3. Step 3: Cross multiply
    13,119.67x = 18,107.03 × 7,814.57
  4. Step 4: Simplify right side
    13,119.67x = 141,498,614.35
  5. Step 5: Solve for x
    x = 141,498,614.35/13,119.67
  6. Step 6: Final answer
    x = 10,785.23

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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.