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Finding the Fourth Proportional to 12,643.20, 17,447.34 and 7,265.64

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Solution

The fourth proportional to 12,643.20, 17,447.34 and 7,265.64 is: 10,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.20 : 17,447.34 = 7,265.64 : x
  2. Step 2: Convert to fraction form
    12,643.20/17,447.34 = 7,265.64/x
  3. Step 3: Cross multiply
    12,643.20x = 17,447.34 × 7,265.64
  4. Step 4: Simplify right side
    12,643.20x = 126,766,091.40
  5. Step 5: Solve for x
    x = 126,766,091.40/12,643.20
  6. Step 6: Final answer
    x = 10,026.42

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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.