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Finding the Fourth Proportional to 24,296.22, 33,523.20 and 14,221.17

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Solution

The fourth proportional to 24,296.22, 33,523.20 and 14,221.17 is: 19,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.22 : 33,523.20 = 14,221.17 : x
  2. Step 2: Convert to fraction form
    24,296.22/33,523.20 = 14,221.17/x
  3. Step 3: Cross multiply
    24,296.22x = 33,523.20 × 14,221.17
  4. Step 4: Simplify right side
    24,296.22x = 476,739,126.14
  5. Step 5: Solve for x
    x = 476,739,126.14/24,296.22
  6. Step 6: Final answer
    x = 19,621.95

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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.