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Finding the Fourth Proportional to 12,323.36, 17,005.92 and 6,734

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Solution

The fourth proportional to 12,323.36, 17,005.92 and 6,734 is: 9,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.36 : 17,005.92 = 6,734 : x
  2. Step 2: Convert to fraction form
    12,323.36/17,005.92 = 6,734/x
  3. Step 3: Cross multiply
    12,323.36x = 17,005.92 × 6,734
  4. Step 4: Simplify right side
    12,323.36x = 114,517,865.28
  5. Step 5: Solve for x
    x = 114,517,865.28/12,323.36
  6. Step 6: Final answer
    x = 9,292.75

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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.