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Finding the Fourth Proportional to 17,969.94, 26,956.78 and 6,886

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Solution

The fourth proportional to 17,969.94, 26,956.78 and 6,886 is: 10,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.94 : 26,956.78 = 6,886 : x
  2. Step 2: Convert to fraction form
    17,969.94/26,956.78 = 6,886/x
  3. Step 3: Cross multiply
    17,969.94x = 26,956.78 × 6,886
  4. Step 4: Simplify right side
    17,969.94x = 185,624,387.08
  5. Step 5: Solve for x
    x = 185,624,387.08/17,969.94
  6. Step 6: Final answer
    x = 10,329.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.