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Finding the Fourth Proportional to 13,450.80, 18,564.36 and 7,785.70

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Solution

The fourth proportional to 13,450.80, 18,564.36 and 7,785.70 is: 10,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.80 : 18,564.36 = 7,785.70 : x
  2. Step 2: Convert to fraction form
    13,450.80/18,564.36 = 7,785.70/x
  3. Step 3: Cross multiply
    13,450.80x = 18,564.36 × 7,785.70
  4. Step 4: Simplify right side
    13,450.80x = 144,536,537.65
  5. Step 5: Solve for x
    x = 144,536,537.65/13,450.80
  6. Step 6: Final answer
    x = 10,745.57

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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.