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Finding the Fourth Proportional to 13,023.94, 17,967.48 and 8,241.57

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Solution

The fourth proportional to 13,023.94, 17,967.48 and 8,241.57 is: 11,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.94 : 17,967.48 = 8,241.57 : x
  2. Step 2: Convert to fraction form
    13,023.94/17,967.48 = 8,241.57/x
  3. Step 3: Cross multiply
    13,023.94x = 17,967.48 × 8,241.57
  4. Step 4: Simplify right side
    13,023.94x = 148,080,244.14
  5. Step 5: Solve for x
    x = 148,080,244.14/13,023.94
  6. Step 6: Final answer
    x = 11,369.85

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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.