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Finding the Fourth Proportional to 24,296.25, 33,531.21 and 14,224.08

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Solution

The fourth proportional to 24,296.25, 33,531.21 and 14,224.08 is: 19,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.25 : 33,531.21 = 14,224.08 : x
  2. Step 2: Convert to fraction form
    24,296.25/33,531.21 = 14,224.08/x
  3. Step 3: Cross multiply
    24,296.25x = 33,531.21 × 14,224.08
  4. Step 4: Simplify right side
    24,296.25x = 476,950,613.54
  5. Step 5: Solve for x
    x = 476,950,613.54/24,296.25
  6. Step 6: Final answer
    x = 19,630.63

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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.