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Finding the Fourth Proportional to 18,841.92, 28,241.40 and 7,734.36

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Solution

The fourth proportional to 18,841.92, 28,241.40 and 7,734.36 is: 11,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,841.92 : 28,241.40 = 7,734.36 : x
  2. Step 2: Convert to fraction form
    18,841.92/28,241.40 = 7,734.36/x
  3. Step 3: Cross multiply
    18,841.92x = 28,241.40 × 7,734.36
  4. Step 4: Simplify right side
    18,841.92x = 218,429,154.50
  5. Step 5: Solve for x
    x = 218,429,154.50/18,841.92
  6. Step 6: Final answer
    x = 11,592.72

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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.