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Finding the Fourth Proportional to 34,022.32, 51,011.32 and 11,834

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Solution

The fourth proportional to 34,022.32, 51,011.32 and 11,834 is: 17,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.32 : 51,011.32 = 11,834 : x
  2. Step 2: Convert to fraction form
    34,022.32/51,011.32 = 11,834/x
  3. Step 3: Cross multiply
    34,022.32x = 51,011.32 × 11,834
  4. Step 4: Simplify right side
    34,022.32x = 603,667,960.88
  5. Step 5: Solve for x
    x = 603,667,960.88/34,022.32
  6. Step 6: Final answer
    x = 17,743.29

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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.