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Finding the Fourth Proportional to 11,429.92, 17,142.48 and 3,220

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Solution

The fourth proportional to 11,429.92, 17,142.48 and 3,220 is: 4,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.92 : 17,142.48 = 3,220 : x
  2. Step 2: Convert to fraction form
    11,429.92/17,142.48 = 3,220/x
  3. Step 3: Cross multiply
    11,429.92x = 17,142.48 × 3,220
  4. Step 4: Simplify right side
    11,429.92x = 55,198,785.60
  5. Step 5: Solve for x
    x = 55,198,785.60/11,429.92
  6. Step 6: Final answer
    x = 4,829.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.