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Finding the Fourth Proportional to 13,563.93, 20,317.94 and 6,523.16

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Solution

The fourth proportional to 13,563.93, 20,317.94 and 6,523.16 is: 9,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.93 : 20,317.94 = 6,523.16 : x
  2. Step 2: Convert to fraction form
    13,563.93/20,317.94 = 6,523.16/x
  3. Step 3: Cross multiply
    13,563.93x = 20,317.94 × 6,523.16
  4. Step 4: Simplify right side
    13,563.93x = 132,537,063.75
  5. Step 5: Solve for x
    x = 132,537,063.75/13,563.93
  6. Step 6: Final answer
    x = 9,771.29

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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.