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Finding the Fourth Proportional to 26,626, 39,916.44 and 17,834

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Solution

The fourth proportional to 26,626, 39,916.44 and 17,834 is: 26,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,626 : 39,916.44 = 17,834 : x
  2. Step 2: Convert to fraction form
    26,626/39,916.44 = 17,834/x
  3. Step 3: Cross multiply
    26,626x = 39,916.44 × 17,834
  4. Step 4: Simplify right side
    26,626x = 711,869,790.96
  5. Step 5: Solve for x
    x = 711,869,790.96/26,626
  6. Step 6: Final answer
    x = 26,735.89

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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.