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Finding the Fourth Proportional to 25,739.25, 38,608.46 and 8,208.96

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Solution

The fourth proportional to 25,739.25, 38,608.46 and 8,208.96 is: 12,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.25 : 38,608.46 = 8,208.96 : x
  2. Step 2: Convert to fraction form
    25,739.25/38,608.46 = 8,208.96/x
  3. Step 3: Cross multiply
    25,739.25x = 38,608.46 × 8,208.96
  4. Step 4: Simplify right side
    25,739.25x = 316,935,303.80
  5. Step 5: Solve for x
    x = 316,935,303.80/25,739.25
  6. Step 6: Final answer
    x = 12,313.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.