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Finding the Fourth Proportional to 13,751.31, 20,580.21 and 8,489.64

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Solution

The fourth proportional to 13,751.31, 20,580.21 and 8,489.64 is: 12,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.31 : 20,580.21 = 8,489.64 : x
  2. Step 2: Convert to fraction form
    13,751.31/20,580.21 = 8,489.64/x
  3. Step 3: Cross multiply
    13,751.31x = 20,580.21 × 8,489.64
  4. Step 4: Simplify right side
    13,751.31x = 174,718,574.02
  5. Step 5: Solve for x
    x = 174,718,574.02/13,751.31
  6. Step 6: Final answer
    x = 12,705.59

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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.