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Finding the Fourth Proportional to 17,709.36, 26,571.36 and 8,946.78

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Solution

The fourth proportional to 17,709.36, 26,571.36 and 8,946.78 is: 13,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.36 : 26,571.36 = 8,946.78 : x
  2. Step 2: Convert to fraction form
    17,709.36/26,571.36 = 8,946.78/x
  3. Step 3: Cross multiply
    17,709.36x = 26,571.36 × 8,946.78
  4. Step 4: Simplify right side
    17,709.36x = 237,728,112.22
  5. Step 5: Solve for x
    x = 237,728,112.22/17,709.36
  6. Step 6: Final answer
    x = 13,423.87

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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.