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Finding the Fourth Proportional to 13,241.75, 19,867.77 and 5,841

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Solution

The fourth proportional to 13,241.75, 19,867.77 and 5,841 is: 8,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.75 : 19,867.77 = 5,841 : x
  2. Step 2: Convert to fraction form
    13,241.75/19,867.77 = 5,841/x
  3. Step 3: Cross multiply
    13,241.75x = 19,867.77 × 5,841
  4. Step 4: Simplify right side
    13,241.75x = 116,047,644.57
  5. Step 5: Solve for x
    x = 116,047,644.57/13,241.75
  6. Step 6: Final answer
    x = 8,763.77

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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.