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Finding the Fourth Proportional to 13,241.10, 19,855.23 and 7,696.05

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Solution

The fourth proportional to 13,241.10, 19,855.23 and 7,696.05 is: 11,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.10 : 19,855.23 = 7,696.05 : x
  2. Step 2: Convert to fraction form
    13,241.10/19,855.23 = 7,696.05/x
  3. Step 3: Cross multiply
    13,241.10x = 19,855.23 × 7,696.05
  4. Step 4: Simplify right side
    13,241.10x = 152,806,842.84
  5. Step 5: Solve for x
    x = 152,806,842.84/13,241.10
  6. Step 6: Final answer
    x = 11,540.34

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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.