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Finding the Fourth Proportional to 15,841.49, 23,758.49 and 5,311.89

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Solution

The fourth proportional to 15,841.49, 23,758.49 and 5,311.89 is: 7,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.49 : 23,758.49 = 5,311.89 : x
  2. Step 2: Convert to fraction form
    15,841.49/23,758.49 = 5,311.89/x
  3. Step 3: Cross multiply
    15,841.49x = 23,758.49 × 5,311.89
  4. Step 4: Simplify right side
    15,841.49x = 126,202,458.89
  5. Step 5: Solve for x
    x = 126,202,458.89/15,841.49
  6. Step 6: Final answer
    x = 7,966.58

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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.