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Finding the Fourth Proportional to 25,375.60, 38,040.36 and 9,804.88

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Solution

The fourth proportional to 25,375.60, 38,040.36 and 9,804.88 is: 14,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.60 : 38,040.36 = 9,804.88 : x
  2. Step 2: Convert to fraction form
    25,375.60/38,040.36 = 9,804.88/x
  3. Step 3: Cross multiply
    25,375.60x = 38,040.36 × 9,804.88
  4. Step 4: Simplify right side
    25,375.60x = 372,981,164.96
  5. Step 5: Solve for x
    x = 372,981,164.96/25,375.60
  6. Step 6: Final answer
    x = 14,698.42

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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.