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Finding the Fourth Proportional to 25,182.72, 37,786.41 and 17,834.40

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Solution

The fourth proportional to 25,182.72, 37,786.41 and 17,834.40 is: 26,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.72 : 37,786.41 = 17,834.40 : x
  2. Step 2: Convert to fraction form
    25,182.72/37,786.41 = 17,834.40/x
  3. Step 3: Cross multiply
    25,182.72x = 37,786.41 × 17,834.40
  4. Step 4: Simplify right side
    25,182.72x = 673,897,950.50
  5. Step 5: Solve for x
    x = 673,897,950.50/25,182.72
  6. Step 6: Final answer
    x = 26,760.33

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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.