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Finding the Fourth Proportional to 24,511, 33,825.44 and 13,333.24

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Solution

The fourth proportional to 24,511, 33,825.44 and 13,333.24 is: 18,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511 : 33,825.44 = 13,333.24 : x
  2. Step 2: Convert to fraction form
    24,511/33,825.44 = 13,333.24/x
  3. Step 3: Cross multiply
    24,511x = 33,825.44 × 13,333.24
  4. Step 4: Simplify right side
    24,511x = 451,002,709.63
  5. Step 5: Solve for x
    x = 451,002,709.63/24,511
  6. Step 6: Final answer
    x = 18,400.01

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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.