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Finding the Fourth Proportional to 24,427.25, 33,709.66 and 13,249.25

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Solution

The fourth proportional to 24,427.25, 33,709.66 and 13,249.25 is: 18,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.25 : 33,709.66 = 13,249.25 : x
  2. Step 2: Convert to fraction form
    24,427.25/33,709.66 = 13,249.25/x
  3. Step 3: Cross multiply
    24,427.25x = 33,709.66 × 13,249.25
  4. Step 4: Simplify right side
    24,427.25x = 446,627,712.76
  5. Step 5: Solve for x
    x = 446,627,712.76/24,427.25
  6. Step 6: Final answer
    x = 18,283.99

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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.