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Finding the Fourth Proportional to 17,638.76, 26,462 and 5,951.64

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Solution

The fourth proportional to 17,638.76, 26,462 and 5,951.64 is: 8,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.76 : 26,462 = 5,951.64 : x
  2. Step 2: Convert to fraction form
    17,638.76/26,462 = 5,951.64/x
  3. Step 3: Cross multiply
    17,638.76x = 26,462 × 5,951.64
  4. Step 4: Simplify right side
    17,638.76x = 157,492,297.68
  5. Step 5: Solve for x
    x = 157,492,297.68/17,638.76
  6. Step 6: Final answer
    x = 8,928.76

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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.