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Finding the Fourth Proportional to 12,829.92, 17,694.24 and 8,352

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Solution

The fourth proportional to 12,829.92, 17,694.24 and 8,352 is: 11,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.92 : 17,694.24 = 8,352 : x
  2. Step 2: Convert to fraction form
    12,829.92/17,694.24 = 8,352/x
  3. Step 3: Cross multiply
    12,829.92x = 17,694.24 × 8,352
  4. Step 4: Simplify right side
    12,829.92x = 147,782,292.48
  5. Step 5: Solve for x
    x = 147,782,292.48/12,829.92
  6. Step 6: Final answer
    x = 11,518.57

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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.