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Finding the Fourth Proportional to 16,469.28, 24,696 and 7,696.80

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Solution

The fourth proportional to 16,469.28, 24,696 and 7,696.80 is: 11,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.28 : 24,696 = 7,696.80 : x
  2. Step 2: Convert to fraction form
    16,469.28/24,696 = 7,696.80/x
  3. Step 3: Cross multiply
    16,469.28x = 24,696 × 7,696.80
  4. Step 4: Simplify right side
    16,469.28x = 190,080,172.80
  5. Step 5: Solve for x
    x = 190,080,172.80/16,469.28
  6. Step 6: Final answer
    x = 11,541.50

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Why These Related Problems?

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