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Finding the Fourth Proportional to 14,563.40, 20,091.16 and 9,255.36

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Solution

The fourth proportional to 14,563.40, 20,091.16 and 9,255.36 is: 12,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.40 : 20,091.16 = 9,255.36 : x
  2. Step 2: Convert to fraction form
    14,563.40/20,091.16 = 9,255.36/x
  3. Step 3: Cross multiply
    14,563.40x = 20,091.16 × 9,255.36
  4. Step 4: Simplify right side
    14,563.40x = 185,950,918.62
  5. Step 5: Solve for x
    x = 185,950,918.62/14,563.40
  6. Step 6: Final answer
    x = 12,768.37

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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.