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Finding the Fourth Proportional to 12,645.90, 17,440.84 and 9,496.62

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Solution

The fourth proportional to 12,645.90, 17,440.84 and 9,496.62 is: 13,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.90 : 17,440.84 = 9,496.62 : x
  2. Step 2: Convert to fraction form
    12,645.90/17,440.84 = 9,496.62/x
  3. Step 3: Cross multiply
    12,645.90x = 17,440.84 × 9,496.62
  4. Step 4: Simplify right side
    12,645.90x = 165,629,029.96
  5. Step 5: Solve for x
    x = 165,629,029.96/12,645.90
  6. Step 6: Final answer
    x = 13,097.45

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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.