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Finding the Fourth Proportional to 12,633.60, 17,435.94 and 7,257.70

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Solution

The fourth proportional to 12,633.60, 17,435.94 and 7,257.70 is: 10,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.60 : 17,435.94 = 7,257.70 : x
  2. Step 2: Convert to fraction form
    12,633.60/17,435.94 = 7,257.70/x
  3. Step 3: Cross multiply
    12,633.60x = 17,435.94 × 7,257.70
  4. Step 4: Simplify right side
    12,633.60x = 126,544,821.74
  5. Step 5: Solve for x
    x = 126,544,821.74/12,633.60
  6. Step 6: Final answer
    x = 10,016.53

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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.