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Finding the Fourth Proportional to 19,546.22, 29,319.35 and 13,728.80

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Solution

The fourth proportional to 19,546.22, 29,319.35 and 13,728.80 is: 20,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.22 : 29,319.35 = 13,728.80 : x
  2. Step 2: Convert to fraction form
    19,546.22/29,319.35 = 13,728.80/x
  3. Step 3: Cross multiply
    19,546.22x = 29,319.35 × 13,728.80
  4. Step 4: Simplify right side
    19,546.22x = 402,519,277.04
  5. Step 5: Solve for x
    x = 402,519,277.04/19,546.22
  6. Step 6: Final answer
    x = 20,593.21

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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.