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Finding the Fourth Proportional to 13,468.34, 18,546.19 and 13,169.63

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Solution

The fourth proportional to 13,468.34, 18,546.19 and 13,169.63 is: 18,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.34 : 18,546.19 = 13,169.63 : x
  2. Step 2: Convert to fraction form
    13,468.34/18,546.19 = 13,169.63/x
  3. Step 3: Cross multiply
    13,468.34x = 18,546.19 × 13,169.63
  4. Step 4: Simplify right side
    13,468.34x = 244,246,301.63
  5. Step 5: Solve for x
    x = 244,246,301.63/13,468.34
  6. Step 6: Final answer
    x = 18,134.85

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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.