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Finding the Fourth Proportional to 16,949.48, 25,424.22 and 7,709

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Solution

The fourth proportional to 16,949.48, 25,424.22 and 7,709 is: 11,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949.48 : 25,424.22 = 7,709 : x
  2. Step 2: Convert to fraction form
    16,949.48/25,424.22 = 7,709/x
  3. Step 3: Cross multiply
    16,949.48x = 25,424.22 × 7,709
  4. Step 4: Simplify right side
    16,949.48x = 195,995,311.98
  5. Step 5: Solve for x
    x = 195,995,311.98/16,949.48
  6. Step 6: Final answer
    x = 11,563.50

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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.