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Finding the Fourth Proportional to 23,539.50, 35,279.22 and 11,031.94

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Solution

The fourth proportional to 23,539.50, 35,279.22 and 11,031.94 is: 16,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.50 : 35,279.22 = 11,031.94 : x
  2. Step 2: Convert to fraction form
    23,539.50/35,279.22 = 11,031.94/x
  3. Step 3: Cross multiply
    23,539.50x = 35,279.22 × 11,031.94
  4. Step 4: Simplify right side
    23,539.50x = 389,198,061.89
  5. Step 5: Solve for x
    x = 389,198,061.89/23,539.50
  6. Step 6: Final answer
    x = 16,533.83

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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.