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Finding the Fourth Proportional to 12,738.22, 17,578.64 and 6,995.61

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Solution

The fourth proportional to 12,738.22, 17,578.64 and 6,995.61 is: 9,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.22 : 17,578.64 = 6,995.61 : x
  2. Step 2: Convert to fraction form
    12,738.22/17,578.64 = 6,995.61/x
  3. Step 3: Cross multiply
    12,738.22x = 17,578.64 × 6,995.61
  4. Step 4: Simplify right side
    12,738.22x = 122,973,327.26
  5. Step 5: Solve for x
    x = 122,973,327.26/12,738.22
  6. Step 6: Final answer
    x = 9,653.89

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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.