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Finding the Fourth Proportional to 17,919, 26,878.50 and 5,607

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Solution

The fourth proportional to 17,919, 26,878.50 and 5,607 is: 8,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919 : 26,878.50 = 5,607 : x
  2. Step 2: Convert to fraction form
    17,919/26,878.50 = 5,607/x
  3. Step 3: Cross multiply
    17,919x = 26,878.50 × 5,607
  4. Step 4: Simplify right side
    17,919x = 150,707,749.50
  5. Step 5: Solve for x
    x = 150,707,749.50/17,919
  6. Step 6: Final answer
    x = 8,410.50

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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.