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Finding the Fourth Proportional to 12,504.20, 17,255.79 and 6,838.83

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Solution

The fourth proportional to 12,504.20, 17,255.79 and 6,838.83 is: 9,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.20 : 17,255.79 = 6,838.83 : x
  2. Step 2: Convert to fraction form
    12,504.20/17,255.79 = 6,838.83/x
  3. Step 3: Cross multiply
    12,504.20x = 17,255.79 × 6,838.83
  4. Step 4: Simplify right side
    12,504.20x = 118,009,414.33
  5. Step 5: Solve for x
    x = 118,009,414.33/12,504.20
  6. Step 6: Final answer
    x = 9,437.59

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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.