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Finding the Fourth Proportional to 17,634.92, 26,454.09 and 5,154.67

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Solution

The fourth proportional to 17,634.92, 26,454.09 and 5,154.67 is: 7,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.92 : 26,454.09 = 5,154.67 : x
  2. Step 2: Convert to fraction form
    17,634.92/26,454.09 = 5,154.67/x
  3. Step 3: Cross multiply
    17,634.92x = 26,454.09 × 5,154.67
  4. Step 4: Simplify right side
    17,634.92x = 136,361,946.06
  5. Step 5: Solve for x
    x = 136,361,946.06/17,634.92
  6. Step 6: Final answer
    x = 7,732.50

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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.