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Finding the Fourth Proportional to 22,704, 34,031.76 and 10,991.52

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Solution

The fourth proportional to 22,704, 34,031.76 and 10,991.52 is: 16,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704 : 34,031.76 = 10,991.52 : x
  2. Step 2: Convert to fraction form
    22,704/34,031.76 = 10,991.52/x
  3. Step 3: Cross multiply
    22,704x = 34,031.76 × 10,991.52
  4. Step 4: Simplify right side
    22,704x = 374,060,770.68
  5. Step 5: Solve for x
    x = 374,060,770.68/22,704
  6. Step 6: Final answer
    x = 16,475.54

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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.