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Finding the Fourth Proportional to 25,842.70, 38,739.44 and 8,300.23

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Solution

The fourth proportional to 25,842.70, 38,739.44 and 8,300.23 is: 12,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.70 : 38,739.44 = 8,300.23 : x
  2. Step 2: Convert to fraction form
    25,842.70/38,739.44 = 8,300.23/x
  3. Step 3: Cross multiply
    25,842.70x = 38,739.44 × 8,300.23
  4. Step 4: Simplify right side
    25,842.70x = 321,546,185.97
  5. Step 5: Solve for x
    x = 321,546,185.97/25,842.70
  6. Step 6: Final answer
    x = 12,442.44

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1.5x scale

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.