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Finding the Fourth Proportional to 15,957.80, 23,949.45 and 7,193.39

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Solution

The fourth proportional to 15,957.80, 23,949.45 and 7,193.39 is: 10,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.80 : 23,949.45 = 7,193.39 : x
  2. Step 2: Convert to fraction form
    15,957.80/23,949.45 = 7,193.39/x
  3. Step 3: Cross multiply
    15,957.80x = 23,949.45 × 7,193.39
  4. Step 4: Simplify right side
    15,957.80x = 172,277,734.14
  5. Step 5: Solve for x
    x = 172,277,734.14/15,957.80
  6. Step 6: Final answer
    x = 10,795.83

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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.