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Finding the Fourth Proportional to 12,786.84, 17,645.46 and 7,197.72

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Solution

The fourth proportional to 12,786.84, 17,645.46 and 7,197.72 is: 9,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.84 : 17,645.46 = 7,197.72 : x
  2. Step 2: Convert to fraction form
    12,786.84/17,645.46 = 7,197.72/x
  3. Step 3: Cross multiply
    12,786.84x = 17,645.46 × 7,197.72
  4. Step 4: Simplify right side
    12,786.84x = 127,007,080.35
  5. Step 5: Solve for x
    x = 127,007,080.35/12,786.84
  6. Step 6: Final answer
    x = 9,932.64

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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.