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Finding the Fourth Proportional to 13,809.26, 20,675.28 and 7,461.39

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Solution

The fourth proportional to 13,809.26, 20,675.28 and 7,461.39 is: 11,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.26 : 20,675.28 = 7,461.39 : x
  2. Step 2: Convert to fraction form
    13,809.26/20,675.28 = 7,461.39/x
  3. Step 3: Cross multiply
    13,809.26x = 20,675.28 × 7,461.39
  4. Step 4: Simplify right side
    13,809.26x = 154,266,327.44
  5. Step 5: Solve for x
    x = 154,266,327.44/13,809.26
  6. Step 6: Final answer
    x = 11,171.23

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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.