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Finding the Fourth Proportional to 11,421.75, 17,133.99 and 4,024.68

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Solution

The fourth proportional to 11,421.75, 17,133.99 and 4,024.68 is: 6,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.75 : 17,133.99 = 4,024.68 : x
  2. Step 2: Convert to fraction form
    11,421.75/17,133.99 = 4,024.68/x
  3. Step 3: Cross multiply
    11,421.75x = 17,133.99 × 4,024.68
  4. Step 4: Simplify right side
    11,421.75x = 68,958,826.87
  5. Step 5: Solve for x
    x = 68,958,826.87/11,421.75
  6. Step 6: Final answer
    x = 6,037.50

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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.