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Finding the Fourth Proportional to 24,453.84, 33,760.62 and 17,733

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Solution

The fourth proportional to 24,453.84, 33,760.62 and 17,733 is: 24,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.84 : 33,760.62 = 17,733 : x
  2. Step 2: Convert to fraction form
    24,453.84/33,760.62 = 17,733/x
  3. Step 3: Cross multiply
    24,453.84x = 33,760.62 × 17,733
  4. Step 4: Simplify right side
    24,453.84x = 598,677,074.46
  5. Step 5: Solve for x
    x = 598,677,074.46/24,453.84
  6. Step 6: Final answer
    x = 24,481.92

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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.