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Finding the Fourth Proportional to 25,273.20, 37,852.20 and 14,905.20

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Solution

The fourth proportional to 25,273.20, 37,852.20 and 14,905.20 is: 22,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,273.20 : 37,852.20 = 14,905.20 : x
  2. Step 2: Convert to fraction form
    25,273.20/37,852.20 = 14,905.20/x
  3. Step 3: Cross multiply
    25,273.20x = 37,852.20 × 14,905.20
  4. Step 4: Simplify right side
    25,273.20x = 564,194,611.44
  5. Step 5: Solve for x
    x = 564,194,611.44/25,273.20
  6. Step 6: Final answer
    x = 22,323.83

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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.