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Finding the Fourth Proportional to 30,651.92, 42,297 and 17,222.12

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Solution

The fourth proportional to 30,651.92, 42,297 and 17,222.12 is: 23,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.92 : 42,297 = 17,222.12 : x
  2. Step 2: Convert to fraction form
    30,651.92/42,297 = 17,222.12/x
  3. Step 3: Cross multiply
    30,651.92x = 42,297 × 17,222.12
  4. Step 4: Simplify right side
    30,651.92x = 728,444,009.64
  5. Step 5: Solve for x
    x = 728,444,009.64/30,651.92
  6. Step 6: Final answer
    x = 23,765.04

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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.