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Finding the Fourth Proportional to 25,996.19, 38,996.43 and 8,228.07

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Solution

The fourth proportional to 25,996.19, 38,996.43 and 8,228.07 is: 12,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.19 : 38,996.43 = 8,228.07 : x
  2. Step 2: Convert to fraction form
    25,996.19/38,996.43 = 8,228.07/x
  3. Step 3: Cross multiply
    25,996.19x = 38,996.43 × 8,228.07
  4. Step 4: Simplify right side
    25,996.19x = 320,865,355.79
  5. Step 5: Solve for x
    x = 320,865,355.79/25,996.19
  6. Step 6: Final answer
    x = 12,342.79

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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.