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Finding the Fourth Proportional to 13,584.16, 20,379.89 and 5,682.51

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Solution

The fourth proportional to 13,584.16, 20,379.89 and 5,682.51 is: 8,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.16 : 20,379.89 = 5,682.51 : x
  2. Step 2: Convert to fraction form
    13,584.16/20,379.89 = 5,682.51/x
  3. Step 3: Cross multiply
    13,584.16x = 20,379.89 × 5,682.51
  4. Step 4: Simplify right side
    13,584.16x = 115,808,928.72
  5. Step 5: Solve for x
    x = 115,808,928.72/13,584.16
  6. Step 6: Final answer
    x = 8,525.29

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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.