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Finding the Fourth Proportional to 12,786.66, 17,645.04 and 9,243.72

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Solution

The fourth proportional to 12,786.66, 17,645.04 and 9,243.72 is: 12,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.66 : 17,645.04 = 9,243.72 : x
  2. Step 2: Convert to fraction form
    12,786.66/17,645.04 = 9,243.72/x
  3. Step 3: Cross multiply
    12,786.66x = 17,645.04 × 9,243.72
  4. Step 4: Simplify right side
    12,786.66x = 163,105,809.15
  5. Step 5: Solve for x
    x = 163,105,809.15/12,786.66
  6. Step 6: Final answer
    x = 12,755.94

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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.