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Finding the Fourth Proportional to 13,698.13, 20,555.70 and 8,771.31

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Solution

The fourth proportional to 13,698.13, 20,555.70 and 8,771.31 is: 13,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.13 : 20,555.70 = 8,771.31 : x
  2. Step 2: Convert to fraction form
    13,698.13/20,555.70 = 8,771.31/x
  3. Step 3: Cross multiply
    13,698.13x = 20,555.70 × 8,771.31
  4. Step 4: Simplify right side
    13,698.13x = 180,300,416.97
  5. Step 5: Solve for x
    x = 180,300,416.97/13,698.13
  6. Step 6: Final answer
    x = 13,162.41

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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.