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Finding the Fourth Proportional to 12,886.43, 17,783.71 and 12,295.94

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Solution

The fourth proportional to 12,886.43, 17,783.71 and 12,295.94 is: 16,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.43 : 17,783.71 = 12,295.94 : x
  2. Step 2: Convert to fraction form
    12,886.43/17,783.71 = 12,295.94/x
  3. Step 3: Cross multiply
    12,886.43x = 17,783.71 × 12,295.94
  4. Step 4: Simplify right side
    12,886.43x = 218,667,431.14
  5. Step 5: Solve for x
    x = 218,667,431.14/12,886.43
  6. Step 6: Final answer
    x = 16,968.81

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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.