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Finding the Fourth Proportional to 12,634.92, 17,429.58 and 9,645.57

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Solution

The fourth proportional to 12,634.92, 17,429.58 and 9,645.57 is: 13,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.92 : 17,429.58 = 9,645.57 : x
  2. Step 2: Convert to fraction form
    12,634.92/17,429.58 = 9,645.57/x
  3. Step 3: Cross multiply
    12,634.92x = 17,429.58 × 9,645.57
  4. Step 4: Simplify right side
    12,634.92x = 168,118,233.96
  5. Step 5: Solve for x
    x = 168,118,233.96/12,634.92
  6. Step 6: Final answer
    x = 13,305.84

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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.