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Finding the Fourth Proportional to 13,241.34, 19,846.89 and 5,440.50

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Solution

The fourth proportional to 13,241.34, 19,846.89 and 5,440.50 is: 8,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.34 : 19,846.89 = 5,440.50 : x
  2. Step 2: Convert to fraction form
    13,241.34/19,846.89 = 5,440.50/x
  3. Step 3: Cross multiply
    13,241.34x = 19,846.89 × 5,440.50
  4. Step 4: Simplify right side
    13,241.34x = 107,977,005.05
  5. Step 5: Solve for x
    x = 107,977,005.05/13,241.34
  6. Step 6: Final answer
    x = 8,154.54

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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.