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Finding the Fourth Proportional to 24,496.12, 33,804.78 and 14,425

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Solution

The fourth proportional to 24,496.12, 33,804.78 and 14,425 is: 19,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.12 : 33,804.78 = 14,425 : x
  2. Step 2: Convert to fraction form
    24,496.12/33,804.78 = 14,425/x
  3. Step 3: Cross multiply
    24,496.12x = 33,804.78 × 14,425
  4. Step 4: Simplify right side
    24,496.12x = 487,633,951.50
  5. Step 5: Solve for x
    x = 487,633,951.50/24,496.12
  6. Step 6: Final answer
    x = 19,906.58

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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.