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Finding the Fourth Proportional to 13,679.33, 20,509.81 and 7,019.87

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Solution

The fourth proportional to 13,679.33, 20,509.81 and 7,019.87 is: 10,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.33 : 20,509.81 = 7,019.87 : x
  2. Step 2: Convert to fraction form
    13,679.33/20,509.81 = 7,019.87/x
  3. Step 3: Cross multiply
    13,679.33x = 20,509.81 × 7,019.87
  4. Step 4: Simplify right side
    13,679.33x = 143,976,079.83
  5. Step 5: Solve for x
    x = 143,976,079.83/13,679.33
  6. Step 6: Final answer
    x = 10,525.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.