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Finding the Fourth Proportional to 17,965.92, 26,942.40 and 7,572

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Solution

The fourth proportional to 17,965.92, 26,942.40 and 7,572 is: 11,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.92 : 26,942.40 = 7,572 : x
  2. Step 2: Convert to fraction form
    17,965.92/26,942.40 = 7,572/x
  3. Step 3: Cross multiply
    17,965.92x = 26,942.40 × 7,572
  4. Step 4: Simplify right side
    17,965.92x = 204,007,852.80
  5. Step 5: Solve for x
    x = 204,007,852.80/17,965.92
  6. Step 6: Final answer
    x = 11,355.27

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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.