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Finding the Fourth Proportional to 17,367, 25,991.22 and 11,038.67

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Solution

The fourth proportional to 17,367, 25,991.22 and 11,038.67 is: 16,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367 : 25,991.22 = 11,038.67 : x
  2. Step 2: Convert to fraction form
    17,367/25,991.22 = 11,038.67/x
  3. Step 3: Cross multiply
    17,367x = 25,991.22 × 11,038.67
  4. Step 4: Simplify right side
    17,367x = 286,908,500.48
  5. Step 5: Solve for x
    x = 286,908,500.48/17,367
  6. Step 6: Final answer
    x = 16,520.33

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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.