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Finding the Fourth Proportional to 12,888.30, 17,786.30 and 12,297.82

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Solution

The fourth proportional to 12,888.30, 17,786.30 and 12,297.82 is: 16,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.30 : 17,786.30 = 12,297.82 : x
  2. Step 2: Convert to fraction form
    12,888.30/17,786.30 = 12,297.82/x
  3. Step 3: Cross multiply
    12,888.30x = 17,786.30 × 12,297.82
  4. Step 4: Simplify right side
    12,888.30x = 218,732,715.87
  5. Step 5: Solve for x
    x = 218,732,715.87/12,888.30
  6. Step 6: Final answer
    x = 16,971.42

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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.