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Finding the Fourth Proportional to 25,229.44, 37,840.80 and 6,762.88

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Solution

The fourth proportional to 25,229.44, 37,840.80 and 6,762.88 is: 10,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.44 : 37,840.80 = 6,762.88 : x
  2. Step 2: Convert to fraction form
    25,229.44/37,840.80 = 6,762.88/x
  3. Step 3: Cross multiply
    25,229.44x = 37,840.80 × 6,762.88
  4. Step 4: Simplify right side
    25,229.44x = 255,912,789.50
  5. Step 5: Solve for x
    x = 255,912,789.50/25,229.44
  6. Step 6: Final answer
    x = 10,143.42

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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.