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Finding the Fourth Proportional to 25,907.70, 38,861.46 and 11,107.02

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Solution

The fourth proportional to 25,907.70, 38,861.46 and 11,107.02 is: 16,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907.70 : 38,861.46 = 11,107.02 : x
  2. Step 2: Convert to fraction form
    25,907.70/38,861.46 = 11,107.02/x
  3. Step 3: Cross multiply
    25,907.70x = 38,861.46 × 11,107.02
  4. Step 4: Simplify right side
    25,907.70x = 431,635,013.45
  5. Step 5: Solve for x
    x = 431,635,013.45/25,907.70
  6. Step 6: Final answer
    x = 16,660.49

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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.