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Finding the Fourth Proportional to 26,952.70, 40,424.10 and 7,226.50

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Solution

The fourth proportional to 26,952.70, 40,424.10 and 7,226.50 is: 10,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.70 : 40,424.10 = 7,226.50 : x
  2. Step 2: Convert to fraction form
    26,952.70/40,424.10 = 7,226.50/x
  3. Step 3: Cross multiply
    26,952.70x = 40,424.10 × 7,226.50
  4. Step 4: Simplify right side
    26,952.70x = 292,124,758.65
  5. Step 5: Solve for x
    x = 292,124,758.65/26,952.70
  6. Step 6: Final answer
    x = 10,838.42

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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.