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Finding the Fourth Proportional to 12,790.96, 17,650.26 and 9,435.58

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Solution

The fourth proportional to 12,790.96, 17,650.26 and 9,435.58 is: 13,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.96 : 17,650.26 = 9,435.58 : x
  2. Step 2: Convert to fraction form
    12,790.96/17,650.26 = 9,435.58/x
  3. Step 3: Cross multiply
    12,790.96x = 17,650.26 × 9,435.58
  4. Step 4: Simplify right side
    12,790.96x = 166,540,440.25
  5. Step 5: Solve for x
    x = 166,540,440.25/12,790.96
  6. Step 6: Final answer
    x = 13,020.17

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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.