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Finding the Fourth Proportional to 12,584.70, 17,367.66 and 8,328.33

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Solution

The fourth proportional to 12,584.70, 17,367.66 and 8,328.33 is: 11,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.70 : 17,367.66 = 8,328.33 : x
  2. Step 2: Convert to fraction form
    12,584.70/17,367.66 = 8,328.33/x
  3. Step 3: Cross multiply
    12,584.70x = 17,367.66 × 8,328.33
  4. Step 4: Simplify right side
    12,584.70x = 144,643,603.81
  5. Step 5: Solve for x
    x = 144,643,603.81/12,584.70
  6. Step 6: Final answer
    x = 11,493.61

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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.