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Finding the Fourth Proportional to 24,116.80, 33,279.36 and 13,504

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Solution

The fourth proportional to 24,116.80, 33,279.36 and 13,504 is: 18,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.80 : 33,279.36 = 13,504 : x
  2. Step 2: Convert to fraction form
    24,116.80/33,279.36 = 13,504/x
  3. Step 3: Cross multiply
    24,116.80x = 33,279.36 × 13,504
  4. Step 4: Simplify right side
    24,116.80x = 449,404,477.44
  5. Step 5: Solve for x
    x = 449,404,477.44/24,116.80
  6. Step 6: Final answer
    x = 18,634.50

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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.